2164060100160 has 1680 divisors, whose sum is σ = 9192372710976. Its totient is φ = 484443058176.

The previous prime is 2164060100141. The next prime is 2164060100203. The reversal of 2164060100160 is 610010604612.

2164060100160 is a `hidden beast` number, since 2 + 1 + 6 + 40 + 601 + 0 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×2164060100160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 239 ways as a sum of consecutive naturals, for example, 12509017834 + ... + 12509018006.

Almost surely, 2^{2164060100160} is an apocalyptic number.

2164060100160 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 2164060100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596186355488).

2164060100160 is an abundant number, since it is smaller than the sum of its proper divisors (7028312610816).

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

2164060100160 is an frugal number, since it uses more digits than its factorization.

2164060100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 2164060100160 its reverse (610010604612), we get a palindrome (2774070704772).

The spelling of 2164060100160 in words is "two trillion, one hundred sixty-four billion, sixty million, one hundred thousand, one hundred sixty".