2585519104 has 99 divisors (see below), whose sum is σ = 6038955003. Its totient is φ = 1103198208.

The previous prime is 2585519047. The next prime is 2585519119. The reversal of 2585519104 is 4019155852.

The square root of 2585519104 is 50848.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11389839 + ... + 11390065.

Almost surely, 2^2585519104 is an apocalyptic number.

2585519104 is the 50848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585519104

2585519104 is an abundant number, since it is smaller than the sum of its proper divisors (3453435899).

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

2585519104 is an frugal number, since it uses more digits than its factorization.

2585519104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 40.

The cubic root of 2585519104 is about 1372.5112630199.

The spelling of 2585519104 in words is "two billion, five hundred eighty-five million, five hundred nineteen thousand, one hundred four".