2131896312 has 576 divisors, whose sum is σ = 7887559680. Its totient is φ = 514128384.

The previous prime is 2131896287. The next prime is 2131896313. The reversal of 2131896312 is 2136981312.

2131896312 is a `hidden beast` number, since 2 + 1 + 3 + 18 + 9 + 631 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131896313) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45359473 + ... + 45359519.

It is an arithmetic number, because the mean of its divisors is an integer number (13693680).

Almost surely, 2^2131896312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131896312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943779840).

2131896312 is an abundant number, since it is smaller than the sum of its proper divisors (5755663368).

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

2131896312 is a wasteful number, since it uses less digits than its factorization.

2131896312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2131896312 is about 46172.4627023511. The cubic root of 2131896312 is about 1287.0300668731.

The spelling of 2131896312 in words is "two billion, one hundred thirty-one million, eight hundred ninety-six thousand, three hundred twelve".