2564687468 has 12 divisors (see below), whose sum is σ = 5129374992. Its totient is φ = 1099151760.

The previous prime is 2564687441. The next prime is 2564687533. The reversal of 2564687468 is 8647864652.

2564687468 is an admirable number.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45797963 + ... + 45798018.

It is an arithmetic number, because the mean of its divisors is an integer number (427447916).

Almost surely, 2^2564687468 is an apocalyptic number.

2564687468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2564687468 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2564687468 is a wasteful number, since it uses less digits than its factorization.

2564687468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91595992 (or 91595990 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 56.

The square root of 2564687468 is about 50642.7434880852. The cubic root of 2564687468 is about 1368.8151917463.

The spelling of 2564687468 in words is "two billion, five hundred sixty-four million, six hundred eighty-seven thousand, four hundred sixty-eight".