2982624768 has 280 divisors, whose sum is σ = 9150849576. Its totient is φ = 970444800.

The previous prime is 2982624761. The next prime is 2982624779. The reversal of 2982624768 is 8674262892.

2982624768 is a `hidden beast` number, since 2 + 9 + 8 + 2 + 624 + 7 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2982624761) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 22768063 + ... + 22768193.

Almost surely, 2^2982624768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2982624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575424788).

2982624768 is an abundant number, since it is smaller than the sum of its proper divisors (6168224808).

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

2982624768 is an frugal number, since it uses more digits than its factorization.

2982624768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 197 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 2982624768 is about 54613.4119791100. The cubic root of 2982624768 is about 1439.4597973733.

The spelling of 2982624768 in words is "two billion, nine hundred eighty-two million, six hundred twenty-four thousand, seven hundred sixty-eight".