2979440352 has 72 divisors (see below), whose sum is σ = 9683187696. Its totient is φ = 851268096.

The previous prime is 2979440333. The next prime is 2979440363. The reversal of 2979440352 is 2530449792.

2979440352 is a `hidden beast` number, since 297 + 9 + 4 + 4 + 0 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2979440352² = 17754129622251767808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2979440298 and 2979440307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736933 + ... + 740964.

It is an arithmetic number, because the mean of its divisors is an integer number (134488718).

Almost surely, 2^2979440352 is an apocalyptic number.

It is an amenable number.

2979440352 is an abundant number, since it is smaller than the sum of its proper divisors (6703747344).

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

2979440352 is a wasteful number, since it uses less digits than its factorization.

2979440352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477920 (or 1477909 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2979440352 is about 54584.2500360681. The cubic root of 2979440352 is about 1438.9473325193.

It can be divided in two parts, 2979440 and 352, that added together give a palindrome (2979792).

The spelling of 2979440352 in words is "two billion, nine hundred seventy-nine million, four hundred forty thousand, three hundred fifty-two".