2982364704 has 192 divisors, whose sum is σ = 9576766080. Its totient is φ = 895426560.

The previous prime is 2982364673. The next prime is 2982364729. The reversal of 2982364704 is 4074632892.

It is a self number, because there is not a number n which added to its sum of digits gives 2982364704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072564 + ... + 1075340.

It is an arithmetic number, because the mean of its divisors is an integer number (49878990).

Almost surely, 2^2982364704 is an apocalyptic number.

2982364704 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 2982364704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788383040).

2982364704 is an abundant number, since it is smaller than the sum of its proper divisors (6594401376).

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

2982364704 is a wasteful number, since it uses less digits than its factorization.

2982364704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2982364704 is about 54611.0309736046. The cubic root of 2982364704 is about 1439.4179592182.

The spelling of 2982364704 in words is "two billion, nine hundred eighty-two million, three hundred sixty-four thousand, seven hundred four".