2131667910 has 192 divisors, whose sum is σ = 6141096000. Its totient is φ = 510590976.

The previous prime is 2131667887. The next prime is 2131667917. The reversal of 2131667910 is 197661312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131667917) by changing a digit.

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, 4747366 + ... + 4747814.

It is an arithmetic number, because the mean of its divisors is an integer number (31984875).

Almost surely, 2^2131667910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131667910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070548000).

2131667910 is an abundant number, since it is smaller than the sum of its proper divisors (4009428090).

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

2131667910 is a wasteful number, since it uses less digits than its factorization.

2131667910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2131667910 is about 46169.9892787512. The cubic root of 2131667910 is about 1286.9841029835.

It can be divided in two parts, 21316679 and 10, that added together give a square (21316689 = 4617²).

The spelling of 2131667910 in words is "two billion, one hundred thirty-one million, six hundred sixty-seven thousand, nine hundred ten".