2979163824 has 160 divisors (see below), whose sum is σ = 9971028480. Its totient is φ = 744339456.

The previous prime is 2979163819. The next prime is 2979163897. The reversal of 2979163824 is 4283619792.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65044 + ... + 100940.

It is an arithmetic number, because the mean of its divisors is an integer number (62318928).

Almost surely, 2^2979163824 is an apocalyptic number.

2979163824 is a gapful number since it is divisible by the number (24) 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 2979163824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985514240).

2979163824 is an abundant number, since it is smaller than the sum of its proper divisors (6991864656).

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

2979163824 is a wasteful number, since it uses less digits than its factorization.

2979163824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35947 (or 35941 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 2979163824 is about 54581.7169389165. The cubic root of 2979163824 is about 1438.9028139194.

The spelling of 2979163824 in words is "two billion, nine hundred seventy-nine million, one hundred sixty-three thousand, eight hundred twenty-four".