2813920880 has 40 divisors (see below), whose sum is σ = 6555570000. Its totient is φ = 1123296768.

The previous prime is 2813920867. The next prime is 2813920909. The reversal of 2813920880 is 880293182.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4676 + ... + 75164.

It is an arithmetic number, because the mean of its divisors is an integer number (163889250).

Almost surely, 2^2813920880 is an apocalyptic number.

2813920880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813920880 is an abundant number, since it is smaller than the sum of its proper divisors (3741649120).

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

2813920880 is a wasteful number, since it uses less digits than its factorization.

2813920880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71001 (or 70995 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 2813920880 is about 53046.4030825842. The cubic root of 2813920880 is about 1411.7917098402.

The spelling of 2813920880 in words is "two billion, eight hundred thirteen million, nine hundred twenty thousand, eight hundred eighty".