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2490745680 = 243351153123
BaseRepresentation
bin1001010001110101…
…1100001101010000
320102120202222202000
42110131130031100
520100112330210
61051053154000
7115502663133
oct22435341520
96376688660
102490745680
111068a63105
1259618b900
1330903c117
14198b2221a
15e89edac0
hex9475c350

2490745680 has 80 divisors (see below), whose sum is σ = 8579242560. Its totient is φ = 664198272.

The previous prime is 2490745637. The next prime is 2490745729. The reversal of 2490745680 is 865470942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×24907456803 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 574402 + ... + 578721.

It is an arithmetic number, because the mean of its divisors is an integer number (107240532).

Almost surely, 22490745680 is an apocalyptic number.

2490745680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2490745680 is an abundant number, since it is smaller than the sum of its proper divisors (6088496880).

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

2490745680 is a wasteful number, since it uses less digits than its factorization.

2490745680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153145 (or 1153133 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2490745680 is about 49907.3709986811. The cubic root of 2490745680 is about 1355.5320650274.

The spelling of 2490745680 in words is "two billion, four hundred ninety million, seven hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1153123 2306246 3459369 4612492 5765615 6918738 9224984 10378107 11531230 13837476 17296845 18449968 20756214 23062460 27674952 31134321 34593690 41512428 46124920 51890535 55349904 62268642 69187380 83024856 92249840 103781070 124537284 138374760 155671605 166049712 207562140 249074568 276749520 311343210 415124280 498149136 622686420 830248560 1245372840 2490745680