2972064960 has 336 divisors, whose sum is σ = 10898343456. Its totient is φ = 770383872.

The previous prime is 2972064947. The next prime is 2972064961. The reversal of 2972064960 is 694602792.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2972064961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2876604 + ... + 2877636.

It is an arithmetic number, because the mean of its divisors is an integer number (32435546).

Almost surely, 2^2972064960 is an apocalyptic number.

2972064960 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 2972064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449171728).

2972064960 is an abundant number, since it is smaller than the sum of its proper divisors (7926278496).

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

2972064960 is a wasteful number, since it uses less digits than its factorization.

2972064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2972064960 is about 54516.6484663171. The cubic root of 2972064960 is about 1437.7590142974.

The spelling of 2972064960 in words is "two billion, nine hundred seventy-two million, sixty-four thousand, nine hundred sixty".