2569678864 has 135 divisors (see below), whose sum is σ = 5688921693. Its totient is φ = 1124145792.

The previous prime is 2569678849. The next prime is 2569678879. The reversal of 2569678864 is 4688769652.

The square root of 2569678864 is 50692.

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 (2569678849) and next prime (2569678879).

It can be written as a sum of positive squares in only one way, i.e., 1347477264 + 1222201600 = 36708^2 + 34960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88609602 + ... + 88609630.

Almost surely, 2^2569678864 is an apocalyptic number.

2569678864 is the 50692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2569678864

2569678864 is an abundant number, since it is smaller than the sum of its proper divisors (3119242829).

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

2569678864 is a wasteful number, since it uses less digits than its factorization.

2569678864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 73 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 61.

The cubic root of 2569678864 is about 1369.7026125599.

The spelling of 2569678864 in words is "two billion, five hundred sixty-nine million, six hundred seventy-eight thousand, eight hundred sixty-four".