2164421468160 has 1792 divisors, whose sum is σ = 9421509427200. Its totient is φ = 460770508800.

The previous prime is 2164421468123. The next prime is 2164421468173. The reversal of 2164421468160 is 618641244612.

2164421468160 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 4 + 21 + 468 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6959554405 + ... + 6959554715.

Almost surely, 2^{2164421468160} is an apocalyptic number.

2164421468160 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 2164421468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4710754713600).

2164421468160 is an abundant number, since it is smaller than the sum of its proper divisors (7257087959040).

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

2164421468160 is a wasteful number, since it uses less digits than its factorization.

2164421468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2164421468160 in words is "two trillion, one hundred sixty-four billion, four hundred twenty-one million, four hundred sixty-eight thousand, one hundred sixty".