2976864016 has 80 divisors (see below), whose sum is σ = 7008301440. Its totient is φ = 1195776000.

The previous prime is 2976863951. The next prime is 2976864019. The reversal of 2976864016 is 6104686792.

2976864016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2976864019) 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, 474790 + ... + 481018.

It is an arithmetic number, because the mean of its divisors is an integer number (87603768).

Almost surely, 2^2976864016 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 2976864016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504150720).

2976864016 is an abundant number, since it is smaller than the sum of its proper divisors (4031437424).

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

2976864016 is a wasteful number, since it uses less digits than its factorization.

2976864016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512 (or 6506 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 2976864016 is about 54560.6453041017. The cubic root of 2976864016 is about 1438.5324580868.

The spelling of 2976864016 in words is "two billion, nine hundred seventy-six million, eight hundred sixty-four thousand, sixteen".