2556118656 has 384 divisors, whose sum is σ = 9311702400. Its totient is φ = 654925824.

The previous prime is 2556118633. The next prime is 2556118661. The reversal of 2556118656 is 6568116552.

2556118656 is a `hidden beast` number, since 2 + 5 + 561 + 1 + 86 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3878455 + ... + 3879113.

It is an arithmetic number, because the mean of its divisors is an integer number (24249225).

Almost surely, 2^2556118656 is an apocalyptic number.

2556118656 is a gapful number since it is divisible by the number (26) 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 2556118656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655851200).

2556118656 is an abundant number, since it is smaller than the sum of its proper divisors (6755583744).

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

2556118656 is a wasteful number, since it uses less digits than its factorization.

2556118656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 721 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 2556118656 is about 50558.0721151430. The cubic root of 2556118656 is about 1367.2890529725.

The spelling of 2556118656 in words is "two billion, five hundred fifty-six million, one hundred eighteen thousand, six hundred fifty-six".