2804868864 has 288 divisors, whose sum is σ = 9811200000. Its totient is φ = 773369856.

The previous prime is 2804868821. The next prime is 2804868919. The reversal of 2804868864 is 4688684082.

2804868864 is a `hidden beast` number, since 2 + 80 + 486 + 8 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2804868864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402137 + ... + 1404135.

Almost surely, 2^2804868864 is an apocalyptic number.

2804868864 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 2804868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905600000).

2804868864 is an abundant number, since it is smaller than the sum of its proper divisors (7006331136).

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

2804868864 is a wasteful number, since it uses less digits than its factorization.

2804868864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The square root of 2804868864 is about 52961.0126791397. The cubic root of 2804868864 is about 1410.2762337925.

The spelling of 2804868864 in words is "two billion, eight hundred four million, eight hundred sixty-eight thousand, eight hundred sixty-four".