2585764352 has 40 divisors (see below), whose sum is σ = 5344663500. Its totient is φ = 1248292864.

The previous prime is 2585764339. The next prime is 2585764411. The reversal of 2585764352 is 2534675852.

It can be written as a sum of positive squares in 2 ways, for example, as 2570895616 + 14868736 = 50704^2 + 3856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2585764297 and 2585764306.

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, 72227 + ... + 101922.

Almost surely, 2^2585764352 is an apocalyptic number.

It is an amenable number.

2585764352 is an abundant number, since it is smaller than the sum of its proper divisors (2758899148).

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

2585764352 is an equidigital number, since it uses as much as digits as its factorization.

2585764352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174196 (or 174180 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 47.

The square root of 2585764352 is about 50850.4115224253. The cubic root of 2585764352 is about 1372.5546579162.

It can be divided in two parts, 25857 and 64352, that added together give a palindrome (90209).

The spelling of 2585764352 in words is "two billion, five hundred eighty-five million, seven hundred sixty-four thousand, three hundred fifty-two".