2982338304 has 216 divisors, whose sum is σ = 8873249280. Its totient is φ = 888391680.

The previous prime is 2982338189. The next prime is 2982338311. The reversal of 2982338304 is 4038332892.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6225937 + ... + 6226415.

Almost surely, 2^2982338304 is an apocalyptic number.

2982338304 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 2982338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436624640).

2982338304 is an abundant number, since it is smaller than the sum of its proper divisors (5890910976).

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

2982338304 is a wasteful number, since it uses less digits than its factorization.

2982338304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 2982338304 is about 54610.7892636611. The cubic root of 2982338304 is about 1439.4137119457.

The spelling of 2982338304 in words is "two billion, nine hundred eighty-two million, three hundred thirty-eight thousand, three hundred four".