2004618864 has 80 divisors (see below), whose sum is σ = 5462150400. Its totient is φ = 631761408.

The previous prime is 2004618853. The next prime is 2004618901. The reversal of 2004618864 is 4688164002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516997 + ... + 520859.

It is an arithmetic number, because the mean of its divisors is an integer number (68276880).

Almost surely, 2^2004618864 is an apocalyptic number.

2004618864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004618864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731075200).

2004618864 is an abundant number, since it is smaller than the sum of its proper divisors (3457531536).

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

2004618864 is a wasteful number, since it uses less digits than its factorization.

2004618864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 2004618864 is about 44772.9702387501. The cubic root of 2004618864 is about 1260.8902048748.

The spelling of 2004618864 in words is "two billion, four million, six hundred eighteen thousand, eight hundred sixty-four".