2131681760784 has 225 divisors, whose sum is σ = 6353694890049. Its totient is φ = 667174394880.

The previous prime is 2131681760749. The next prime is 2131681760809. The reversal of 2131681760784 is 4870671861312.

The square root of 2131681760784 is 1460028.

It is a perfect power (a square), and thus also a powerful number.

2131681760784 is a `hidden beast` number, since 2 + 1 + 3 + 16 + 8 + 17 + 607 + 8 + 4 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 1330728359184 + 800953401600 = 1153572^2 + 894960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2131681760784.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5063376894 + ... + 5063377314.

Almost surely, 2^{2131681760784} is an apocalyptic number.

2131681760784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2131681760784 is the 1460028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131681760784

2131681760784 is an abundant number, since it is smaller than the sum of its proper divisors (4222013129265).

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

2131681760784 is an frugal number, since it uses more digits than its factorization.

2131681760784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 2131681760784 in words is "two trillion, one hundred thirty-one billion, six hundred eighty-one million, seven hundred sixty thousand, seven hundred eighty-four".