2973616512 has 128 divisors (see below), whose sum is σ = 8214998400. Its totient is φ = 952258560.

The previous prime is 2973616511. The next prime is 2973616531. The reversal of 2973616512 is 2156163792.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2973616512² = 17684790320878092288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2973616511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053439 + ... + 1056257.

It is an arithmetic number, because the mean of its divisors is an integer number (64179675).

Almost surely, 2^2973616512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2973616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107499200).

2973616512 is an abundant number, since it is smaller than the sum of its proper divisors (5241381888).

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

2973616512 is a wasteful number, since it uses less digits than its factorization.

2973616512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2932 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 2973616512 is about 54530.8766846820. The cubic root of 2973616512 is about 1438.0091624639.

The spelling of 2973616512 in words is "two billion, nine hundred seventy-three million, six hundred sixteen thousand, five hundred twelve".