2584728004 has 48 divisors (see below), whose sum is σ = 4855244800. Its totient is φ = 1200420000.

The previous prime is 2584727993. The next prime is 2584728019. The reversal of 2584728004 is 4008274852.

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, 905179 + ... + 908029.

Almost surely, 2^2584728004 is an apocalyptic number.

It is an amenable number.

2584728004 is a deficient number, since it is larger than the sum of its proper divisors (2270516796).

2584728004 is a wasteful number, since it uses less digits than its factorization.

2584728004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 2584728004 is about 50840.2203378388. The cubic root of 2584728004 is about 1372.3712647737.

The spelling of 2584728004 in words is "two billion, five hundred eighty-four million, seven hundred twenty-eight thousand, four".