2004004104 has 32 divisors (see below), whose sum is σ = 5013213120. Its totient is φ = 667574336.

The previous prime is 2004004091. The next prime is 2004004111. The reversal of 2004004104 is 4014004002.

2004004104 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 12829 + ... + 64595.

It is an arithmetic number, because the mean of its divisors is an integer number (156662910).

Almost surely, 2^2004004104 is an apocalyptic number.

2004004104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2004004104 is an abundant number, since it is smaller than the sum of its proper divisors (3009209016).

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

2004004104 is a wasteful number, since it uses less digits than its factorization.

2004004104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53389 (or 53385 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2004004104 is about 44766.1044094748. The cubic root of 2004004104 is about 1260.7612985562.

Adding to 2004004104 its reverse (4014004002), we get a palindrome (6018008106).

The spelling of 2004004104 in words is "two billion, four million, four thousand, one hundred four".