2585412544 has 112 divisors (see below), whose sum is σ = 6089209056. Its totient is φ = 1073664000.

The previous prime is 2585412469. The next prime is 2585412587. The reversal of 2585412544 is 4452145852.

It is a junction number, because it is equal to n+sod(n) for n = 2585412497 and 2585412506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922954 + ... + 925750.

It is an arithmetic number, because the mean of its divisors is an integer number (54367938).

Almost surely, 2^2585412544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585412544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044604528).

2585412544 is an abundant number, since it is smaller than the sum of its proper divisors (3503796512).

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

2585412544 is a wasteful number, since it uses less digits than its factorization.

2585412544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2924 counting only the distinct ones).

The product of its digits is 256000, while the sum is 40.

The square root of 2585412544 is about 50846.9521603803. The cubic root of 2585412544 is about 1372.4924071276.

The spelling of 2585412544 in words is "two billion, five hundred eighty-five million, four hundred twelve thousand, five hundred forty-four".