2564390257 has 16 divisors (see below), whose sum is σ = 3028515840. Its totient is φ = 2140646400.

The previous prime is 2564390251. The next prime is 2564390263. The reversal of 2564390257 is 7520934652.

It is an interprime number because it is at equal distance from previous prime (2564390251) and next prime (2564390263).

It is a cyclic number.

It is not a de Polignac number, because 2564390257 - 2¹⁵ = 2564357489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564390251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19632 + ... + 74257.

It is an arithmetic number, because the mean of its divisors is an integer number (189282240).

Almost surely, 2^2564390257 is an apocalyptic number.

It is an amenable number.

2564390257 is a deficient number, since it is larger than the sum of its proper divisors (464125583).

2564390257 is a wasteful number, since it uses less digits than its factorization.

2564390257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94104.

The product of its (nonzero) digits is 453600, while the sum is 43.

The square root of 2564390257 is about 50639.8090142528. The cubic root of 2564390257 is about 1368.7623142641.

The spelling of 2564390257 in words is "two billion, five hundred sixty-four million, three hundred ninety thousand, two hundred fifty-seven".