2668135680 has 576 divisors, whose sum is σ = 11125900800. Its totient is φ = 592773120.

The previous prime is 2668135643. The next prime is 2668135709. The reversal of 2668135680 is 865318662.

2668135680 is a `hidden beast` number, since 2 + 6 + 6 + 81 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 9918586 + ... + 9918854.

It is an arithmetic number, because the mean of its divisors is an integer number (19315800).

Almost surely, 2^2668135680 is an apocalyptic number.

2668135680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562950400).

2668135680 is an abundant number, since it is smaller than the sum of its proper divisors (8457765120).

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

2668135680 is a wasteful number, since it uses less digits than its factorization.

2668135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2668135680 is about 51653.9996515275. Note that the first 3 decimals coincide. The cubic root of 2668135680 is about 1386.9771411962.

The spelling of 2668135680 in words is "two billion, six hundred sixty-eight million, one hundred thirty-five thousand, six hundred eighty".