2631984120 has 192 divisors, whose sum is σ = 9034740000. Its totient is φ = 662667264.

The previous prime is 2631984109. The next prime is 2631984163. The reversal of 2631984120 is 214891362.

2631984120 is a `hidden beast` number, since 2 + 631 + 9 + 8 + 4 + 12 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3070732 + ... + 3071588.

Almost surely, 2^2631984120 is an apocalyptic number.

2631984120 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 2631984120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517370000).

2631984120 is an abundant number, since it is smaller than the sum of its proper divisors (6402755880).

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

2631984120 is a wasteful number, since it uses less digits than its factorization.

2631984120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2631984120 is about 51302.8665865758. The cubic root of 2631984120 is about 1380.6844116124.

The spelling of 2631984120 in words is "two billion, six hundred thirty-one million, nine hundred eighty-four thousand, one hundred twenty".