2004317568 has 192 divisors, whose sum is σ = 6503540400. Its totient is φ = 607242240.

The previous prime is 2004317563. The next prime is 2004317569. The reversal of 2004317568 is 8657134002.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004317563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415780 + ... + 420572.

Almost surely, 2^2004317568 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 2004317568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251770200).

2004317568 is an abundant number, since it is smaller than the sum of its proper divisors (4499222832).

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

2004317568 is a wasteful number, since it uses less digits than its factorization.

2004317568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2004317568 is about 44769.6054036664. The cubic root of 2004317568 is about 1260.8270307362.

The spelling of 2004317568 in words is "two billion, four million, three hundred seventeen thousand, five hundred sixty-eight".