2881978680 has 256 divisors, whose sum is σ = 10258744320. Its totient is φ = 634023936.

The previous prime is 2881978657. The next prime is 2881978739. The reversal of 2881978680 is 868791882.

It is a super-2 number, since 2×2881978680² = 16611602223949084800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2881978680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2636214 + ... + 2637306.

It is an arithmetic number, because the mean of its divisors is an integer number (40073220).

Almost surely, 2^2881978680 is an apocalyptic number.

2881978680 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 2881978680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129372160).

2881978680 is an abundant number, since it is smaller than the sum of its proper divisors (7376765640).

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

2881978680 is a wasteful number, since it uses less digits than its factorization.

2881978680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 57.

The square root of 2881978680 is about 53684.0635570744. The cubic root of 2881978680 is about 1423.0830783918.

The spelling of 2881978680 in words is "two billion, eight hundred eighty-one million, nine hundred seventy-eight thousand, six hundred eighty".