2564540656 has 40 divisors (see below), whose sum is σ = 5233930880. Its totient is φ = 1213942464.

The previous prime is 2564540651. The next prime is 2564540701. The reversal of 2564540656 is 6560454652.

It is a happy number.

2564540656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564540651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 803095 + ... + 806281.

It is an arithmetic number, because the mean of its divisors is an integer number (130848272).

Almost surely, 2^2564540656 is an apocalyptic number.

It is an amenable number.

2564540656 is an abundant number, since it is smaller than the sum of its proper divisors (2669390224).

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

2564540656 is a wasteful number, since it uses less digits than its factorization.

2564540656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5861 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The square root of 2564540656 is about 50641.2939803082. The cubic root of 2564540656 is about 1368.7890726015.

The spelling of 2564540656 in words is "two billion, five hundred sixty-four million, five hundred forty thousand, six hundred fifty-six".