2180096690760 has 288 divisors, whose sum is σ = 7388195700600. Its totient is φ = 578930042880.

The previous prime is 2180096690683. The next prime is 2180096690777. The reversal of 2180096690760 is 670966900812.

It can be written as a sum of positive squares in 4 ways, for example, as 2014361395524 + 165735295236 = 1419282^2 + 407106^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2180096690697 and 2180096690706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63230806 + ... + 63265274.

Almost surely, 2^{2180096690760} is an apocalyptic number.

2180096690760 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 2180096690760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694097850300).

2180096690760 is an abundant number, since it is smaller than the sum of its proper divisors (5208099009840).

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

2180096690760 is an equidigital number, since it uses as much as digits as its factorization.

2180096690760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34745 (or 34720 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 2180096690760 in words is "two trillion, one hundred eighty billion, ninety-six million, six hundred ninety thousand, seven hundred sixty".