2585384568 has 320 divisors, whose sum is σ = 8507268000. Its totient is φ = 726340608.

The previous prime is 2585384551. The next prime is 2585384603. The reversal of 2585384568 is 8654835852.

2585384568 is a `hidden beast` number, since 2 + 5 + 8 + 538 + 45 + 68 = 666.

2585384568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4641346 + ... + 4641902.

Almost surely, 2^2585384568 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 2585384568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253634000).

2585384568 is an abundant number, since it is smaller than the sum of its proper divisors (5921883432).

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

2585384568 is a wasteful number, since it uses less digits than its factorization.

2585384568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 623 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The square root of 2585384568 is about 50846.6770595680. The cubic root of 2585384568 is about 1372.4874566622.

The spelling of 2585384568 in words is "two billion, five hundred eighty-five million, three hundred eighty-four thousand, five hundred sixty-eight".