2004912000 has 1280 divisors, whose sum is σ = 9703774080. Its totient is φ = 398131200.

The previous prime is 2004911999. The next prime is 2004912079. The reversal of 2004912000 is 2194002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117935992 + ... + 117936008.

Almost surely, 2^2004912000 is an apocalyptic number.

2004912000 is a gapful number since it is divisible by the number (20) 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 2004912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851887040).

2004912000 is an abundant number, since it is smaller than the sum of its proper divisors (7698862080).

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

2004912000 is a wasteful number, since it uses less digits than its factorization.

2004912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2004912000 is about 44776.2437013200. The cubic root of 2004912000 is about 1260.9516619932.

The spelling of 2004912000 in words is "two billion, four million, nine hundred twelve thousand".