2972079160 has 64 divisors (see below), whose sum is σ = 6889212000. Its totient is φ = 1153291776.

The previous prime is 2972079139. The next prime is 2972079163. The reversal of 2972079160 is 619702792.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972079163) by changing a digit.

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, 250482 + ... + 262078.

Almost surely, 2^2972079160 is an apocalyptic number.

2972079160 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 2972079160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444606000).

2972079160 is an abundant number, since it is smaller than the sum of its proper divisors (3917132840).

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

2972079160 is a wasteful number, since it uses less digits than its factorization.

2972079160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11800 (or 11796 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 43.

The square root of 2972079160 is about 54516.7787016071. The cubic root of 2972079160 is about 1437.7613040797.

The spelling of 2972079160 in words is "two billion, nine hundred seventy-two million, seventy-nine thousand, one hundred sixty".