2982631680 has 288 divisors, whose sum is σ = 12097209600. Its totient is φ = 681689088.

The previous prime is 2982631621. The next prime is 2982631681. The reversal of 2982631680 is 861362892.

2982631680 is a `hidden beast` number, since 2 + 9 + 8 + 2 + 631 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2982631681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235756 + ... + 248084.

It is an arithmetic number, because the mean of its divisors is an integer number (42004200).

Almost surely, 2^2982631680 is an apocalyptic number.

2982631680 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 2982631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048604800).

2982631680 is an abundant number, since it is smaller than the sum of its proper divisors (9114577920).

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

2982631680 is a wasteful number, since it uses less digits than its factorization.

2982631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12366 (or 12346 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2982631680 is about 54613.4752602322. The cubic root of 2982631680 is about 1439.4609093177.

The spelling of 2982631680 in words is "two billion, nine hundred eighty-two million, six hundred thirty-one thousand, six hundred eighty".