2967882960 has 320 divisors, whose sum is σ = 11085004800. Its totient is φ = 655925760.

The previous prime is 2967882943. The next prime is 2967882971. The reversal of 2967882960 is 692887692.

It is a self number, because there is not a number n which added to its sum of digits gives 2967882960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2551339 + ... + 2552501.

It is an arithmetic number, because the mean of its divisors is an integer number (34640640).

Almost surely, 2^2967882960 is an apocalyptic number.

2967882960 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 2967882960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542502400).

2967882960 is an abundant number, since it is smaller than the sum of its proper divisors (8117121840).

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

2967882960 is a wasteful number, since it uses less digits than its factorization.

2967882960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The square root of 2967882960 is about 54478.2797085224. The cubic root of 2967882960 is about 1437.0843396575.

The spelling of 2967882960 in words is "two billion, nine hundred sixty-seven million, eight hundred eighty-two thousand, nine hundred sixty".