2979958920 has 128 divisors (see below), whose sum is σ = 9199008000. Its totient is φ = 771922944.

The previous prime is 2979958901. The next prime is 2979958931. The reversal of 2979958920 is 298599792.

It is a Cunningham number, because it is equal to 54589²-1.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652806 + ... + 657354.

It is an arithmetic number, because the mean of its divisors is an integer number (71867250).

Almost surely, 2^2979958920 is an apocalyptic number.

2979958920 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 2979958920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599504000).

2979958920 is an abundant number, since it is smaller than the sum of its proper divisors (6219049080).

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

2979958920 is a wasteful number, since it uses less digits than its factorization.

2979958920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 60.

The square root of 2979958920 is about 54588.9999908406. Note that the first 5 decimals coincide. The cubic root of 2979958920 is about 1439.0308100258.

The spelling of 2979958920 in words is "two billion, nine hundred seventy-nine million, nine hundred fifty-eight thousand, nine hundred twenty".