2564564256 has 36 divisors (see below), whose sum is σ = 7292980422. Its totient is φ = 854854656.

The previous prime is 2564564251. The next prime is 2564564339. The reversal of 2564564256 is 6524654652.

2564564256 is a `hidden beast` number, since 2 + 5 + 64 + 564 + 25 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2546211600 + 18352656 = 50460^2 + 4284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2564564251) 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, 4452081 + ... + 4452656.

Almost surely, 2^2564564256 is an apocalyptic number.

It is an amenable number.

2564564256 is an abundant number, since it is smaller than the sum of its proper divisors (4728416166).

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

2564564256 is a wasteful number, since it uses less digits than its factorization.

2564564256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8904753 (or 8904742 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The square root of 2564564256 is about 50641.5269911957. The cubic root of 2564564256 is about 1368.7932713161.

The spelling of 2564564256 in words is "two billion, five hundred sixty-four million, five hundred sixty-four thousand, two hundred fifty-six".