2180991126816 has 288 divisors, whose sum is σ = 6403336063488. Its totient is φ = 703784632320.

The previous prime is 2180991126803. The next prime is 2180991126817. The reversal of 2180991126816 is 6186211990812.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2180991126817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 943742301 + ... + 943744611.

It is an arithmetic number, because the mean of its divisors is an integer number (22233805776).

Almost surely, 2^{2180991126816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2180991126816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201668031744).

2180991126816 is an abundant number, since it is smaller than the sum of its proper divisors (4222344936672).

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

2180991126816 is a wasteful number, since it uses less digits than its factorization.

2180991126816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 2180991126816 in words is "two trillion, one hundred eighty billion, nine hundred ninety-one million, one hundred twenty-six thousand, eight hundred sixteen".