2604884064 has 96 divisors (see below), whose sum is σ = 7112286720. Its totient is φ = 834043392.

The previous prime is 2604884053. The next prime is 2604884083. The reversal of 2604884064 is 4604884062.

It is a tau number, because it is divible by the number of its divisors (96).

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, 275967 + ... + 285249.

It is an arithmetic number, because the mean of its divisors is an integer number (74086320).

Almost surely, 2^2604884064 is an apocalyptic number.

2604884064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2604884064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556143360).

2604884064 is an abundant number, since it is smaller than the sum of its proper divisors (4507402656).

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

2604884064 is a wasteful number, since it uses less digits than its factorization.

2604884064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9412 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 2604884064 is about 51038.0648535973. The cubic root of 2604884064 is about 1375.9293444430.

The spelling of 2604884064 in words is "two billion, six hundred four million, eight hundred eighty-four thousand, sixty-four".