2585127264 has 24 divisors (see below), whose sum is σ = 6785959320. Its totient is φ = 861709056.

The previous prime is 2585127199. The next prime is 2585127271. The reversal of 2585127264 is 4627215852.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2585127264² = 13365765942152251392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13464109 + ... + 13464300.

It is an arithmetic number, because the mean of its divisors is an integer number (282748305).

Almost surely, 2^2585127264 is an apocalyptic number.

2585127264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2585127264 is an abundant number, since it is smaller than the sum of its proper divisors (4200832056).

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

2585127264 is a wasteful number, since it uses less digits than its factorization.

2585127264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26928422 (or 26928414 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 2585127264 is about 50844.1468017706. The cubic root of 2585127264 is about 1372.4419240127.

The spelling of 2585127264 in words is "two billion, five hundred eighty-five million, one hundred twenty-seven thousand, two hundred sixty-four".