2564264264056 has 32 divisors (see below), whose sum is σ = 5245262225280. Its totient is φ = 1165535503200.

The previous prime is 2564264264017. The next prime is 2564264264057. The reversal of 2564264264056 is 6504624624652.

It is a super-2 number, since 2×2564264264056² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2564264263994 and 2564264264012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564264264057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2229811 + ... + 3178141.

It is an arithmetic number, because the mean of its divisors is an integer number (163914444540).

Almost surely, 2^{2564264264056} is an apocalyptic number.

It is an amenable number.

2564264264056 is an abundant number, since it is smaller than the sum of its proper divisors (2680997961224).

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

2564264264056 is a wasteful number, since it uses less digits than its factorization.

2564264264056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979075 (or 979071 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 52.

The spelling of 2564264264056 in words is "two trillion, five hundred sixty-four billion, two hundred sixty-four million, two hundred sixty-four thousand, fifty-six".