2131249595760 has 960 divisors, whose sum is σ = 8060850929664. Its totient is φ = 502109798400.

The previous prime is 2131249595731. The next prime is 2131249595773. The reversal of 2131249595760 is 675959421312.

2131249595760 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 49 + 595 + 7 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2131249595697 and 2131249595706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2264876890 + ... + 2264877830.

Almost surely, 2^{2131249595760} is an apocalyptic number.

2131249595760 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 2131249595760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030425464832).

2131249595760 is an abundant number, since it is smaller than the sum of its proper divisors (5929601333904).

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

2131249595760 is a wasteful number, since it uses less digits than its factorization.

2131249595760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 2131249595760 in words is "two trillion, one hundred thirty-one billion, two hundred forty-nine million, five hundred ninety-five thousand, seven hundred sixty".