2004928320 has 224 divisors, whose sum is σ = 6899257728. Its totient is φ = 491323392.

The previous prime is 2004928309. The next prime is 2004928327. The reversal of 2004928320 is 238294002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004928327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700332 + ... + 703188.

Almost surely, 2^2004928320 is an apocalyptic number.

2004928320 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 2004928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449628864).

2004928320 is an abundant number, since it is smaller than the sum of its proper divisors (4894329408).

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

2004928320 is a wasteful number, since it uses less digits than its factorization.

2004928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2004928320 is about 44776.4259404433. The cubic root of 2004928320 is about 1260.9550833695.

The spelling of 2004928320 in words is "two billion, four million, nine hundred twenty-eight thousand, three hundred twenty".