2004972000 has 96 divisors (see below), whose sum is σ = 6568327584. Its totient is φ = 534656000.

The previous prime is 2004971999. The next prime is 2004972023. The reversal of 2004972000 is 2794002.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 71541 + ... + 95540.

It is an arithmetic number, because the mean of its divisors is an integer number (68420079).

Almost surely, 2^2004972000 is an apocalyptic number.

2004972000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004972000 is an abundant number, since it is smaller than the sum of its proper divisors (4563355584).

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

2004972000 is a wasteful number, since it uses less digits than its factorization.

2004972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167109 (or 167091 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2004972000 is about 44776.9136944475. The cubic root of 2004972000 is about 1260.9642404913.

The spelling of 2004972000 in words is "two billion, four million, nine hundred seventy-two thousand".