2982752960 has 56 divisors (see below), whose sum is σ = 7748387856. Its totient is φ = 1084636160.

The previous prime is 2982752959. The next prime is 2982752977. The reversal of 2982752960 is 692572892.

It is a junction number, because it is equal to n+sod(n) for n = 2982752899 and 2982752908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420167 + ... + 427206.

Almost surely, 2^2982752960 is an apocalyptic number.

2982752960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2982752960 is an abundant number, since it is smaller than the sum of its proper divisors (4765634896).

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

2982752960 is a wasteful number, since it uses less digits than its factorization.

2982752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847401 (or 847391 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The square root of 2982752960 is about 54614.5855976222. The cubic root of 2982752960 is about 1439.4804195435.

The spelling of 2982752960 in words is "two billion, nine hundred eighty-two million, seven hundred fifty-two thousand, nine hundred sixty".