2164350062160 has 480 divisors, whose sum is σ = 8679359235456. Its totient is φ = 476388864000.

The previous prime is 2164350062153. The next prime is 2164350062179. The reversal of 2164350062160 is 612600534612.

2164350062160 is a `hidden beast` number, since 2 + 1 + 6 + 435 + 0 + 0 + 6 + 216 + 0 = 666.

It is a super-2 number, since 2×2164350062160² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6108255 + ... + 6452865.

Almost surely, 2^{2164350062160} is an apocalyptic number.

2164350062160 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 2164350062160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339679617728).

2164350062160 is an abundant number, since it is smaller than the sum of its proper divisors (6515009173296).

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

2164350062160 is a wasteful number, since it uses less digits than its factorization.

2164350062160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344715 (or 344706 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 2164350062160 its reverse (612600534612), we get a palindrome (2776950596772).

The spelling of 2164350062160 in words is "two trillion, one hundred sixty-four billion, three hundred fifty million, sixty-two thousand, one hundred sixty".