2972980920 has 768 divisors, whose sum is σ = 12410496000. Its totient is φ = 562028544.

The previous prime is 2972980909. The next prime is 2972980921. The reversal of 2972980920 is 290892792.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2972980920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972980921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33404236 + ... + 33404324.

It is an arithmetic number, because the mean of its divisors is an integer number (16159500).

Almost surely, 2^2972980920 is an apocalyptic number.

2972980920 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 2972980920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205248000).

2972980920 is an abundant number, since it is smaller than the sum of its proper divisors (9437515080).

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

2972980920 is a wasteful number, since it uses less digits than its factorization.

2972980920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 2972980920 is about 54525.0485556868. The cubic root of 2972980920 is about 1437.9066999973.

The spelling of 2972980920 in words is "two billion, nine hundred seventy-two million, nine hundred eighty thousand, nine hundred twenty".