2180107104960 has 224 divisors, whose sum is σ = 7056101175552. Its totient is φ = 570096783360.

The previous prime is 2180107104949. The next prime is 2180107105027. The reversal of 2180107104960 is 694017010812.

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 31 ways as a sum of consecutive naturals, for example, 108415227 + ... + 108435333.

Almost surely, 2^{2180107104960} is an apocalyptic number.

2180107104960 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 2180107104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528050587776).

2180107104960 is an abundant number, since it is smaller than the sum of its proper divisors (4875994070592).

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

2180107104960 is a wasteful number, since it uses less digits than its factorization.

2180107104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22311 (or 22301 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 2180107104960 in words is "two trillion, one hundred eighty billion, one hundred seven million, one hundred four thousand, nine hundred sixty".