2565349584 has 40 divisors (see below), whose sum is σ = 7573890240. Its totient is φ = 732956928.

The previous prime is 2565349573. The next prime is 2565349627. The reversal of 2565349584 is 4859435652.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3817149 + ... + 3817820.

It is an arithmetic number, because the mean of its divisors is an integer number (189347256).

Almost surely, 2^2565349584 is an apocalyptic number.

2565349584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2565349584 is an abundant number, since it is smaller than the sum of its proper divisors (5008540656).

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

2565349584 is a wasteful number, since it uses less digits than its factorization.

2565349584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634987 (or 7634981 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 51.

The square root of 2565349584 is about 50649.2801923186. The cubic root of 2565349584 is about 1368.9329756178.

The spelling of 2565349584 in words is "two billion, five hundred sixty-five million, three hundred forty-nine thousand, five hundred eighty-four".