2180360198016 has 2048 divisors, whose sum is σ = 9064916582400. Its totient is φ = 503884800000.

The previous prime is 2180360198011. The next prime is 2180360198039. The reversal of 2180360198016 is 6108910630812.

2180360198016 is a `hidden beast` number, since 21 + 8 + 0 + 3 + 601 + 9 + 8 + 0 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180360198011) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8686693891 + ... + 8686694141.

It is an arithmetic number, because the mean of its divisors is an integer number (4426228800).

Almost surely, 2^{2180360198016} is an apocalyptic number.

2180360198016 is a gapful number since it is divisible by the number (26) 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 2180360198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532458291200).

2180360198016 is an abundant number, since it is smaller than the sum of its proper divisors (6884556384384).

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

2180360198016 is a wasteful number, since it uses less digits than its factorization.

2180360198016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 2180360198016 in words is "two trillion, one hundred eighty billion, three hundred sixty million, one hundred ninety-eight thousand, sixteen".