2631912120 has 384 divisors, whose sum is σ = 9507326400. Its totient is φ = 628604928.

The previous prime is 2631912113. The next prime is 2631912133. The reversal of 2631912120 is 212191362.

2631912120 is a `hidden beast` number, since 2 + 631 + 9 + 1 + 2 + 1 + 20 = 666.

It is a super-2 number, since 2×2631912120² = 13853922814805788800, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 13359862 + ... + 13360058.

Almost surely, 2^2631912120 is an apocalyptic number.

2631912120 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 2631912120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753663200).

2631912120 is an abundant number, since it is smaller than the sum of its proper divisors (6875414280).

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

2631912120 is a wasteful number, since it uses less digits than its factorization.

2631912120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2631912120 is about 51302.1648666019. The cubic root of 2631912120 is about 1380.6718215941.

The spelling of 2631912120 in words is "two billion, six hundred thirty-one million, nine hundred twelve thousand, one hundred twenty".