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2540121532352 = 262359173169063
BaseRepresentation
bin100100111101101011000…
…010101010011111000000
322222211111102210120202022
4210331223002222133000
5313104132103013402
65222525443541012
7351342402531065
oct44755302523700
98884442716668
102540121532352
1189a294425388
1235036168a768
131556bc9a6c21
148ad2a478c6c
154611b1022a2
hex24f6b0aa7c0

2540121532352 has 112 divisors (see below), whose sum is σ = 5379805831680. Its totient is φ = 1187340008448.

The previous prime is 2540121532349. The next prime is 2540121532391. The reversal of 2540121532352 is 2532351210452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14940173 + ... + 15109235.

It is an arithmetic number, because the mean of its divisors is an integer number (48033980640).

Almost surely, 22540121532352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540121532352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689902915840).

2540121532352 is an abundant number, since it is smaller than the sum of its proper divisors (2839684299328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2540121532352 is a wasteful number, since it uses less digits than its factorization.

2540121532352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169330 (or 169320 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 2540121532352 in words is "two trillion, five hundred forty billion, one hundred twenty-one million, five hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 59 64 92 118 173 184 236 346 368 472 692 736 944 1357 1384 1472 1888 2714 2768 3776 3979 5428 5536 7958 10207 10856 11072 15916 20414 21712 31832 40828 43424 63664 81656 86848 127328 163312 169063 234761 254656 326624 338126 469522 653248 676252 939044 1352504 1878088 2705008 3756176 3888449 5410016 7512352 7776898 9974717 10820032 15024704 15553796 19949434 29247899 31107592 39898868 58495798 62215184 79797736 116991596 124430368 159595472 229418491 233983192 248860736 319190944 458836982 467966384 638381888 672701677 917673964 935932768 1345403354 1725626041 1835347928 1871865536 2690806708 3451252082 3670695856 5381613416 6902504164 7341391712 10763226832 13805008328 14682783424 21526453664 27610016656 39689398943 43052907328 55220033312 79378797886 110440066624 158757595772 317515191544 635030383088 1270060766176 2540121532352