2131738560 has 560 divisors, whose sum is σ = 8969410560. Its totient is φ = 470292480.

The previous prime is 2131738549. The next prime is 2131738589. The reversal of 2131738560 is 658371312.

2131738560 is a `hidden beast` number, since 21 + 3 + 1 + 73 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5624451 + ... + 5624829.

Almost surely, 2^2131738560 is an apocalyptic number.

2131738560 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 2131738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484705280).

2131738560 is an abundant number, since it is smaller than the sum of its proper divisors (6837672000).

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

2131738560 is a wasteful number, since it uses less digits than its factorization.

2131738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2131738560 is about 46170.7543798019. The cubic root of 2131738560 is about 1286.9983210241.

The spelling of 2131738560 in words is "two billion, one hundred thirty-one million, seven hundred thirty-eight thousand, five hundred sixty".