2585215584 has 72 divisors (see below), whose sum is σ = 8401957200. Its totient is φ = 738632448.

The previous prime is 2585215573. The next prime is 2585215613. The reversal of 2585215584 is 4855125852.

2585215584 is a `hidden beast` number, since 2 + 5 + 8 + 52 + 15 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×2585215584⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 639159 + ... + 643190.

It is an arithmetic number, because the mean of its divisors is an integer number (116693850).

Almost surely, 2^2585215584 is an apocalyptic number.

2585215584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2585215584 is an abundant number, since it is smaller than the sum of its proper divisors (5816741616).

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

2585215584 is a wasteful number, since it uses less digits than its factorization.

2585215584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282372 (or 1282361 counting only the distinct ones).

The product of its digits is 640000, while the sum is 45.

The square root of 2585215584 is about 50845.0153309053. The cubic root of 2585215584 is about 1372.4575535063.

The spelling of 2585215584 in words is "two billion, five hundred eighty-five million, two hundred fifteen thousand, five hundred eighty-four".