2585112336 has 135 divisors (see below), whose sum is σ = 7669933479. Its totient is φ = 812690496.

The previous prime is 2585112329. The next prime is 2585112367. The reversal of 2585112336 is 6332115852.

The square root of 2585112336 is 50844.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2585112336.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11592321 + ... + 11592543.

Almost surely, 2^2585112336 is an apocalyptic number.

2585112336 is the 50844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585112336

2585112336 is an abundant number, since it is smaller than the sum of its proper divisors (5084821143).

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

2585112336 is a wasteful number, since it uses less digits than its factorization.

2585112336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 247 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The cubic root of 2585112336 is about 1372.4392822533.

Multiplying 2585112336 by its sum of digits (36), we get a square (93064044096 = 305064²).

2585112336 divided by its sum of digits (36) gives a square (71808676 = 8474²).

It can be divided in two parts, 2585 and 112336, that added together give a square (114921 = 339²).

The spelling of 2585112336 in words is "two billion, five hundred eighty-five million, one hundred twelve thousand, three hundred thirty-six".