2881297876800 has 2016 divisors, whose sum is σ = 12295035567360. Its totient is φ = 575963136000.

The previous prime is 2881297876789. The next prime is 2881297876871. The reversal of 2881297876800 is 86787921882.

2881297876800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15918772710 + ... + 15918772890.

It is an arithmetic number, because the mean of its divisors is an integer number (6098727960).

Almost surely, 2^{2881297876800} is an apocalyptic number.

2881297876800 is a gapful number since it is divisible by the number (20) 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 2881297876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6147517783680).

2881297876800 is an abundant number, since it is smaller than the sum of its proper divisors (9413737690560).

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

2881297876800 is a wasteful number, since it uses less digits than its factorization.

2881297876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 66.

The spelling of 2881297876800 in words is "two trillion, eight hundred eighty-one billion, two hundred ninety-seven million, eight hundred seventy-six thousand, eight hundred".