2880860000800 has 36 divisors (see below), whose sum is σ = 7032899478906. Its totient is φ = 1152344000000.

The previous prime is 2880860000749. The next prime is 2880860000803. The reversal of 2880860000800 is 80000680882.

It can be written as a sum of positive squares in 3 ways, for example, as 2120203912464 + 760656088336 = 1456092^2 + 872156^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2880860000803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1800536701 + ... + 1800538300.

Almost surely, 2^{2880860000800} is an apocalyptic number.

2880860000800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2880860000800 is an abundant number, since it is smaller than the sum of its proper divisors (4152039478106).

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

2880860000800 is a wasteful number, since it uses less digits than its factorization.

2880860000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601075021 (or 3601075008 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The spelling of 2880860000800 in words is "two trillion, eight hundred eighty billion, eight hundred sixty million, eight hundred", and thus it is an aban number.