2982033664 has 27 divisors (see below), whose sum is σ = 5954163313. Its totient is φ = 1490579968.

The previous prime is 2982033647. The next prime is 2982033667. The reversal of 2982033664 is 4663302892.

The square root of 2982033664 is 54608.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2813241600 + 168792064 = 53040^2 + 12992^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2982033664.

It is not an unprimeable number, because it can be changed into a prime (2982033667) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 872022 + ... + 875434.

Almost surely, 2^2982033664 is an apocalyptic number.

2982033664 is the 54608-th square number.

It is an amenable number.

2982033664 is a deficient number, since it is larger than the sum of its proper divisors (2972129649).

2982033664 is an frugal number, since it uses more digits than its factorization.

2982033664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6842 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The cubic root of 2982033664 is about 1439.3646991824.

The spelling of 2982033664 in words is "two billion, nine hundred eighty-two million, thirty-three thousand, six hundred sixty-four".