2564867304 has 48 divisors (see below), whose sum is σ = 7312125600. Its totient is φ = 809957664.

The previous prime is 2564867251. The next prime is 2564867317. The reversal of 2564867304 is 4037684652.

2564867304 is a `hidden beast` number, since 2 + 564 + 86 + 7 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2564867304.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 936084 + ... + 938819.

It is an arithmetic number, because the mean of its divisors is an integer number (152335950).

Almost surely, 2^2564867304 is an apocalyptic number.

2564867304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2564867304 is an abundant number, since it is smaller than the sum of its proper divisors (4747258296).

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

2564867304 is a wasteful number, since it uses less digits than its factorization.

2564867304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874934 (or 1874927 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2564867304 is about 50644.5189926807. The cubic root of 2564867304 is about 1368.8471847927.

The spelling of 2564867304 in words is "two billion, five hundred sixty-four million, eight hundred sixty-seven thousand, three hundred four".