2004004000 has 48 divisors (see below), whose sum is σ = 4923847656. Its totient is φ = 801600000.

The previous prime is 2004003919. The next prime is 2004004087. The reversal of 2004004000 is 4004002.

It can be written as a sum of positive squares in 4 ways, for example, as 64834704 + 1939169296 = 8052^2 + 44036^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246501 + ... + 254500.

Almost surely, 2^2004004000 is an apocalyptic number.

2004004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004004000 is an abundant number, since it is smaller than the sum of its proper divisors (2919843656).

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

2004004000 is an equidigital number, since it uses as much as digits as its factorization.

2004004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501026 (or 501008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2004004000 is about 44766.1032478816. The cubic root of 2004004000 is about 1260.7612767467.

Adding to 2004004000 its reverse (4004002), we get a palindrome (2008008002).

The spelling of 2004004000 in words is "two billion, four million, four thousand", and thus it is an eban number.