2162001520680 has 768 divisors, whose sum is σ = 7441532640000. Its totient is φ = 502240296960.

The previous prime is 2162001520673. The next prime is 2162001520727. The reversal of 2162001520680 is 860251002612.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 14510077246 + ... + 14510077394.

It is an arithmetic number, because the mean of its divisors is an integer number (9689495625).

Almost surely, 2^{2162001520680} is an apocalyptic number.

2162001520680 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 2162001520680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720766320000).

2162001520680 is an abundant number, since it is smaller than the sum of its proper divisors (5279531119320).

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

2162001520680 is a wasteful number, since it uses less digits than its factorization.

2162001520680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 2162001520680 in words is "two trillion, one hundred sixty-two billion, one million, five hundred twenty thousand, six hundred eighty".