2564578336 has 24 divisors (see below), whose sum is σ = 5185475820. Its totient is φ = 1247632128.

The previous prime is 2564578319. The next prime is 2564578337. The reversal of 2564578336 is 6338754652.

It can be written as a sum of positive squares in 2 ways, for example, as 2405313936 + 159264400 = 49044^2 + 12620^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2564578336.

It is not an unprimeable number, because it can be changed into a prime (2564578337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1081831 + ... + 1084198.

Almost surely, 2^2564578336 is an apocalyptic number.

It is an amenable number.

2564578336 is an abundant number, since it is smaller than the sum of its proper divisors (2620897484).

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

2564578336 is a wasteful number, since it uses less digits than its factorization.

2564578336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166076 (or 2166068 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 49.

The square root of 2564578336 is about 50641.6660073501. Note that the first 3 decimals coincide. The cubic root of 2564578336 is about 1368.7957762996.

The spelling of 2564578336 in words is "two billion, five hundred sixty-four million, five hundred seventy-eight thousand, three hundred thirty-six".