2162122166160 has 960 divisors, whose sum is σ = 8250980474880. Its totient is φ = 502894080000.

The previous prime is 2162122166153. The next prime is 2162122166167. The reversal of 2162122166160 is 616612212612.

2162122166160 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 1 + 22 + 16 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2162122166153) and next prime (2162122166167).

It is a super-2 number, since 2×2162122166160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2162122166167) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4925107221 + ... + 4925107659.

It is an arithmetic number, because the mean of its divisors is an integer number (8594771328).

Almost surely, 2^{2162122166160} is an apocalyptic number.

2162122166160 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 2162122166160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125490237440).

2162122166160 is an abundant number, since it is smaller than the sum of its proper divisors (6088858308720).

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

2162122166160 is a wasteful number, since it uses less digits than its factorization.

2162122166160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 2162122166160 its reverse (616612212612), we get a palindrome (2778734378772).

The spelling of 2162122166160 in words is "two trillion, one hundred sixty-two billion, one hundred twenty-two million, one hundred sixty-six thousand, one hundred sixty".