2979873971088 has 80 divisors (see below), whose sum is σ = 8977268572800. Its totient is φ = 851392558464.

The previous prime is 2979873971069. The next prime is 2979873971089. The reversal of 2979873971088 is 8801793789792.

2979873971088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2979873971089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90480195 + ... + 90513122.

It is an arithmetic number, because the mean of its divisors is an integer number (112215857160).

Almost surely, 2^{2979873971088} is an apocalyptic number.

2979873971088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2979873971088 is an abundant number, since it is smaller than the sum of its proper divisors (5997394601712).

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

2979873971088 is a wasteful number, since it uses less digits than its factorization.

2979873971088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180993349 (or 180993329 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 78.

The spelling of 2979873971088 in words is "two trillion, nine hundred seventy-nine billion, eight hundred seventy-three million, nine hundred seventy-one thousand, eighty-eight".