2564600256 has 42 divisors (see below), whose sum is σ = 7350965232. Its totient is φ = 854866560.

The previous prime is 2564600251. The next prime is 2564600273. The reversal of 2564600256 is 6520064652.

2564600256 is a `hidden beast` number, since 2 + 5 + 646 + 0 + 0 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2564600256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564600251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2225640 + ... + 2226791.

Almost surely, 2^2564600256 is an apocalyptic number.

It is an amenable number.

2564600256 is an abundant number, since it is smaller than the sum of its proper divisors (4786364976).

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

2564600256 is a wasteful number, since it uses less digits than its factorization.

2564600256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452449 (or 4452436 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2564600256 is about 50641.8824294674. The cubic root of 2564600256 is about 1368.7996760854.

The spelling of 2564600256 in words is "two billion, five hundred sixty-four million, six hundred thousand, two hundred fifty-six".