2004325600 has 36 divisors (see below), whose sum is σ = 4893061824. Its totient is φ = 801729920.

The previous prime is 2004325579. The next prime is 2004325601. The reversal of 2004325600 is 65234002.

It is a happy number.

It is a super-2 number, since 2×2004325600² = 8034642221630720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004325601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1251904 + ... + 1253503.

It is an arithmetic number, because the mean of its divisors is an integer number (135918384).

Almost surely, 2^2004325600 is an apocalyptic number.

2004325600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004325600 is an abundant number, since it is smaller than the sum of its proper divisors (2888736224).

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

2004325600 is a wasteful number, since it uses less digits than its factorization.

2004325600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505427 (or 2505414 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2004325600 is about 44769.6951072933. The cubic root of 2004325600 is about 1260.8287149253.

Adding to 2004325600 its reverse (65234002), we get a palindrome (2069559602).

The spelling of 2004325600 in words is "two billion, four million, three hundred twenty-five thousand, six hundred".