2131956288 has 560 divisors, whose sum is σ = 8113776000. Its totient is φ = 548674560.

The previous prime is 2131956251. The next prime is 2131956289. The reversal of 2131956288 is 8826591312.

2131956288 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 9 + 562 + 88 = 666.

It is a super-2 number, since 2×2131956288² = 9090475227885477888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131956289) 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 79 ways as a sum of consecutive naturals, for example, 19559178 + ... + 19559286.

Almost surely, 2^2131956288 is an apocalyptic number.

2131956288 is a gapful number since it is divisible by the number (28) 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 2131956288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056888000).

2131956288 is an abundant number, since it is smaller than the sum of its proper divisors (5981819712).

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

2131956288 is a wasteful number, since it uses less digits than its factorization.

2131956288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 2131956288 is about 46173.1121758107. The cubic root of 2131956288 is about 1287.0421359703.

The spelling of 2131956288 in words is "two billion, one hundred thirty-one million, nine hundred fifty-six thousand, two hundred eighty-eight".