2880013864 has 64 divisors (see below), whose sum is σ = 6686265600. Its totient is φ = 1132475904.

The previous prime is 2880013847. The next prime is 2880013879. The reversal of 2880013864 is 4683100882.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109732 + ... + 133420.

It is an arithmetic number, because the mean of its divisors is an integer number (104472900).

Almost surely, 2^2880013864 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 2880013864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343132800).

2880013864 is an abundant number, since it is smaller than the sum of its proper divisors (3806251736).

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

2880013864 is a wasteful number, since it uses less digits than its factorization.

2880013864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23882 (or 23878 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 2880013864 is about 53665.7606300330. The cubic root of 2880013864 is about 1422.7596047909.

The spelling of 2880013864 in words is "two billion, eight hundred eighty million, thirteen thousand, eight hundred sixty-four".