2881440836400 has 240 divisors, whose sum is σ = 10889103116288. Its totient is φ = 637369344000.

The previous prime is 2881440836399. The next prime is 2881440836411. The reversal of 2881440836400 is 46380441882.

2881440836400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2881440836400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5272321 + ... + 5793120.

Almost surely, 2^{2881440836400} is an apocalyptic number.

2881440836400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2881440836400 is an abundant number, since it is smaller than the sum of its proper divisors (8007662279888).

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

2881440836400 is a wasteful number, since it uses less digits than its factorization.

2881440836400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11065500 (or 11065489 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 2881440836400 in words is "two trillion, eight hundred eighty-one billion, four hundred forty million, eight hundred thirty-six thousand, four hundred".