2979889792 has 64 divisors (see below), whose sum is σ = 6485780160. Its totient is φ = 1352488960.

The previous prime is 2979889763. The next prime is 2979889793.

2979889792 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2979889793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1382988 + ... + 1385140.

It is an arithmetic number, because the mean of its divisors is an integer number (101340315).

Almost surely, 2^2979889792 is an apocalyptic number.

2979889792 is a gapful number since it is divisible by the number (22) 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 2979889792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242890080).

2979889792 is an abundant number, since it is smaller than the sum of its proper divisors (3505890368).

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

2979889792 is a wasteful number, since it uses less digits than its factorization.

2979889792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3149 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 70.

The square root of 2979889792 is about 54588.3668193142. The cubic root of 2979889792 is about 1439.0196825691.

The spelling of 2979889792 in words is "two billion, nine hundred seventy-nine million, eight hundred eighty-nine thousand, seven hundred ninety-two".