2564007967504 has 15 divisors (see below), whose sum is σ = 4967777846773. Its totient is φ = 1282000781248.

The previous prime is 2564007967489. The next prime is 2564007967519. The reversal of 2564007967504 is 4057697004652.

The square root of 2564007967504 is 1601252.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2564007967489) and next prime (2564007967519).

It can be written as a sum of positive squares in only one way, i.e., 2414356592400 + 149651375104 = 1553820^2 + 386848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6204852 + ... + 6605164.

Almost surely, 2^{2564007967504} is an apocalyptic number.

2564007967504 is the 1601252-nd square number.

It is an amenable number.

2564007967504 is a deficient number, since it is larger than the sum of its proper divisors (2403769879269).

2564007967504 is an frugal number, since it uses more digits than its factorization.

2564007967504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800634 (or 400315 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 2564007967504 in words is "two trillion, five hundred sixty-four billion, seven million, nine hundred sixty-seven thousand, five hundred four".