2982792384 has 224 divisors, whose sum is σ = 10302727680. Its totient is φ = 834278400.

The previous prime is 2982792383. The next prime is 2982792451. The reversal of 2982792384 is 4832972892.

It is a happy number.

2982792384 is a `hidden beast` number, since 298 + 279 + 2 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2982792384.

It is not an unprimeable number, because it can be changed into a prime (2982792383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241069 + ... + 253139.

It is an arithmetic number, because the mean of its divisors is an integer number (45994320).

Almost surely, 2^2982792384 is an apocalyptic number.

2982792384 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 2982792384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151363840).

2982792384 is an abundant number, since it is smaller than the sum of its proper divisors (7319935296).

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

2982792384 is a wasteful number, since it uses less digits than its factorization.

2982792384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12116 (or 12100 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2982792384 is about 54614.9465256536. The cubic root of 2982792384 is about 1439.4867615400.

The spelling of 2982792384 in words is "two billion, nine hundred eighty-two million, seven hundred ninety-two thousand, three hundred eighty-four".