2131756161744 has 80 divisors (see below), whose sum is σ = 6009798294720. Its totient is φ = 645758561280.

The previous prime is 2131756161739. The next prime is 2131756161757. The reversal of 2131756161744 is 4471616571312.

It is a super-2 number, since 2×2131756161744² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2131756161693 and 2131756161702.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 786372 + ... + 2209500.

It is an arithmetic number, because the mean of its divisors is an integer number (75122478684).

Almost surely, 2^{2131756161744} is an apocalyptic number.

2131756161744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2131756161744 is an abundant number, since it is smaller than the sum of its proper divisors (3878042132976).

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

2131756161744 is a wasteful number, since it uses less digits than its factorization.

2131756161744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425988 (or 1425982 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The spelling of 2131756161744 in words is "two trillion, one hundred thirty-one billion, seven hundred fifty-six million, one hundred sixty-one thousand, seven hundred forty-four".