2585883264 has 64 divisors (see below), whose sum is σ = 6878871840. Its totient is φ = 860691456.

The previous prime is 2585883253. The next prime is 2585883301. The reversal of 2585883264 is 4623885852.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2585883264³ (a number of 29 digits) contains 333 as substring.

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, 276879 + ... + 286065.

Almost surely, 2^2585883264 is an apocalyptic number.

2585883264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439435920).

2585883264 is an abundant number, since it is smaller than the sum of its proper divisors (4292988576).

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

2585883264 is an equidigital number, since it uses as much as digits as its factorization.

2585883264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9937 (or 9925 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

The square root of 2585883264 is about 50851.5807423919. The cubic root of 2585883264 is about 1372.5756975645.

The spelling of 2585883264 in words is "two billion, five hundred eighty-five million, eight hundred eighty-three thousand, two hundred sixty-four".