2982618072 has 128 divisors (see below), whose sum is σ = 9562867200. Its totient is φ = 843696000.

The previous prime is 2982618059. The next prime is 2982618077. The reversal of 2982618072 is 2708162892.

2982618072 is a `hidden beast` number, since 29 + 8 + 2 + 618 + 0 + 7 + 2 = 666.

2982618072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2982618077) 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, 142947 + ... + 162477.

It is an arithmetic number, because the mean of its divisors is an integer number (74709900).

Almost surely, 2^2982618072 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 2982618072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781433600).

2982618072 is an abundant number, since it is smaller than the sum of its proper divisors (6580249128).

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

2982618072 is a wasteful number, since it uses less digits than its factorization.

2982618072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19654 (or 19644 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2982618072 is about 54613.3506754530. The cubic root of 2982618072 is about 1439.4587201756.

The spelling of 2982618072 in words is "two billion, nine hundred eighty-two million, six hundred eighteen thousand, seventy-two".