2982042360 has 192 divisors, whose sum is σ = 10597392000. Its totient is φ = 721232640.

The previous prime is 2982042353. The next prime is 2982042409. The reversal of 2982042360 is 632402892.

2982042360 is a `hidden beast` number, since 2 + 98 + 204 + 2 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2925931 + ... + 2926949.

It is an arithmetic number, because the mean of its divisors is an integer number (55194750).

Almost surely, 2^2982042360 is an apocalyptic number.

2982042360 is a gapful number since it is divisible by the number (20) 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 2982042360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298696000).

2982042360 is an abundant number, since it is smaller than the sum of its proper divisors (7615349640).

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

2982042360 is a wasteful number, since it uses less digits than its factorization.

2982042360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2982042360 is about 54608.0796219754. The cubic root of 2982042360 is about 1439.3660983062.

The spelling of 2982042360 in words is "two billion, nine hundred eighty-two million, forty-two thousand, three hundred sixty".