2004933008 has 40 divisors (see below), whose sum is σ = 4201897728. Its totient is φ = 921255552.

The previous prime is 2004933001. The next prime is 2004933019. The reversal of 2004933008 is 8003394002.

It is not an unprimeable number, because it can be changed into a prime (2004933001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25985 + ... + 68447.

Almost surely, 2^2004933008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004933008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100948864).

2004933008 is an abundant number, since it is smaller than the sum of its proper divisors (2196964720).

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

2004933008 is a wasteful number, since it uses less digits than its factorization.

2004933008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42711 (or 42705 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 2004933008 is about 44776.4782893876. The cubic root of 2004933008 is about 1260.9560661732.

The spelling of 2004933008 in words is "two billion, four million, nine hundred thirty-three thousand, eight".