2004882688 has 72 divisors (see below), whose sum is σ = 4066546176. Its totient is φ = 986419200.

The previous prime is 2004882673. The next prime is 2004882689. The reversal of 2004882688 is 8862884002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004882689) 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, 6405220 + ... + 6405532.

It is an arithmetic number, because the mean of its divisors is an integer number (56479808).

Almost surely, 2^2004882688 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 2004882688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033273088).

2004882688 is an abundant number, since it is smaller than the sum of its proper divisors (2061663488).

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

2004882688 is a wasteful number, since it uses less digits than its factorization.

2004882688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The square root of 2004882688 is about 44775.9163836989. The cubic root of 2004882688 is about 1260.9455168864.

The spelling of 2004882688 in words is "two billion, four million, eight hundred eighty-two thousand, six hundred eighty-eight".