2004468768 has 120 divisors (see below), whose sum is σ = 6151578048. Its totient is φ = 639086976.

The previous prime is 2004468743. The next prime is 2004468811. The reversal of 2004468768 is 8678644002.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42805 + ... + 76427.

Almost surely, 2^2004468768 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 2004468768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075789024).

2004468768 is an abundant number, since it is smaller than the sum of its proper divisors (4147109280).

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

2004468768 is a wasteful number, since it uses less digits than its factorization.

2004468768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33668 (or 33651 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2004468768 is about 44771.2940174840. The cubic root of 2004468768 is about 1260.8587343373.

The spelling of 2004468768 in words is "two billion, four million, four hundred sixty-eight thousand, seven hundred sixty-eight".