2004864400 has 360 divisors, whose sum is σ = 6483843936. Its totient is φ = 587059200.

The previous prime is 2004864341. The next prime is 2004864413. The reversal of 2004864400 is 44684002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3664927 + ... + 3665473.

Almost surely, 2^2004864400 is an apocalyptic number.

2004864400 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 2004864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241921968).

2004864400 is an abundant number, since it is smaller than the sum of its proper divisors (4478979536).

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

2004864400 is a wasteful number, since it uses less digits than its factorization.

2004864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 2004864400 is about 44775.7121663073. The cubic root of 2004864400 is about 1260.9416828729.

It can be divided in two parts, 20048 and 64400, that added together give a palindrome (84448).

The spelling of 2004864400 in words is "two billion, four million, eight hundred sixty-four thousand, four hundred".