2979669792 has 96 divisors (see below), whose sum is σ = 8763418944. Its totient is φ = 878515200.

The previous prime is 2979669769. The next prime is 2979669827.

2979669792 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (66).

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 15 ways as a sum of consecutive naturals, for example, 942 + ... + 77202.

It is an arithmetic number, because the mean of its divisors is an integer number (91285614).

Almost surely, 2^2979669792 is an apocalyptic number.

2979669792 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 2979669792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381709472).

2979669792 is an abundant number, since it is smaller than the sum of its proper divisors (5783749152).

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

2979669792 is a wasteful number, since it uses less digits than its factorization.

2979669792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76322 (or 76314 counting only the distinct ones).

The product of its digits is 46294416, while the sum is 66.

The square root of 2979669792 is about 54586.3517007686. The cubic root of 2979669792 is about 1438.9842682704.

It can be divided in two parts, 2979669 and 792, that added together give a triangular number (2980461 = T₂₄₄₁).

The spelling of 2979669792 in words is "two billion, nine hundred seventy-nine million, six hundred sixty-nine thousand, seven hundred ninety-two".