2802401568 has 72 divisors (see below), whose sum is σ = 7974743868. Its totient is φ = 933499392.

The previous prime is 2802401551. The next prime is 2802401587. The reversal of 2802401568 is 8651042082.

It can be written as a sum of positive squares in 2 ways, for example, as 2490808464 + 311593104 = 49908^2 + 17652^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 635146 + ... + 639542.

Almost surely, 2^2802401568 is an apocalyptic number.

It is an amenable number.

2802401568 is an abundant number, since it is smaller than the sum of its proper divisors (5172342300).

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

2802401568 is a wasteful number, since it uses less digits than its factorization.

2802401568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6626 (or 6615 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2802401568 is about 52937.7140420702. The cubic root of 2802401568 is about 1409.8625971434.

The spelling of 2802401568 in words is "two billion, eight hundred two million, four hundred one thousand, five hundred sixty-eight".