2567664864 has 72 divisors (see below), whose sum is σ = 7686118440. Its totient is φ = 810839808.

The previous prime is 2567664857. The next prime is 2567664877. The reversal of 2567664864 is 4684667652.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2567664864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229147 + ... + 240090.

It is an arithmetic number, because the mean of its divisors is an integer number (106751645).

Almost surely, 2^2567664864 is an apocalyptic number.

2567664864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2567664864 is an abundant number, since it is smaller than the sum of its proper divisors (5118453576).

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

2567664864 is a wasteful number, since it uses less digits than its factorization.

2567664864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469272 (or 469261 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 2567664864 is about 50672.1310386686. The cubic root of 2567664864 is about 1369.3446817047.

The spelling of 2567664864 in words is "two billion, five hundred sixty-seven million, six hundred sixty-four thousand, eight hundred sixty-four".