2980905984 has 528 divisors, whose sum is σ = 10729555200. Its totient is φ = 794787840.

The previous prime is 2980905979. The next prime is 2980906001. The reversal of 2980905984 is 4895090892.

It is a self number, because there is not a number n which added to its sum of digits gives 2980905984.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72705004 + ... + 72705044.

Almost surely, 2^2980905984 is an apocalyptic number.

2980905984 is a gapful number since it is divisible by the number (24) 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 2980905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364777600).

2980905984 is an abundant number, since it is smaller than the sum of its proper divisors (7748649216).

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

2980905984 is a wasteful number, since it uses less digits than its factorization.

2980905984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 2980905984 is about 54597.6737966005. The cubic root of 2980905984 is about 1439.1832405302.

The spelling of 2980905984 in words is "two billion, nine hundred eighty million, nine hundred five thousand, nine hundred eighty-four".