2881112976 has 315 divisors, whose sum is σ = 9874895403. Its totient is φ = 811581120.

The previous prime is 2881112953. The next prime is 2881112977. The reversal of 2881112976 is 6792111882.

The square root of 2881112976 is 53676.

It is a perfect power (a square), and thus also a powerful number.

2881112976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2881112977) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 40579021 + ... + 40579091.

Almost surely, 2^2881112976 is an apocalyptic number.

2881112976 is the 53676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2881112976

2881112976 is an abundant number, since it is smaller than the sum of its proper divisors (6993782427).

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

2881112976 is an frugal number, since it uses more digits than its factorization.

2881112976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 83 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The cubic root of 2881112976 is about 1422.9405730479.

The spelling of 2881112976 in words is "two billion, eight hundred eighty-one million, one hundred twelve thousand, nine hundred seventy-six".