2164075415127 has 64 divisors (see below), whose sum is σ = 3412034150400. Its totient is φ = 1350903329280.

The previous prime is 2164075415113. The next prime is 2164075415207. The reversal of 2164075415127 is 7215145704612.

2164075415127 is a `hidden beast` number, since 2 + 1 + 6 + 40 + 75 + 415 + 127 = 666.

It is not a de Polignac number, because 2164075415127 - 2⁶ = 2164075415063 is a prime.

It is a super-2 number, since 2×2164075415127² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164075435127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89423593 + ... + 89447789.

It is an arithmetic number, because the mean of its divisors is an integer number (53313033600).

Almost surely, 2^{2164075415127} is an apocalyptic number.

2164075415127 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2164075415127 is a deficient number, since it is larger than the sum of its proper divisors (1247958735273).

2164075415127 is a wasteful number, since it uses less digits than its factorization.

2164075415127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25213 (or 25207 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 2164075415127 in words is "two trillion, one hundred sixty-four billion, seventy-five million, four hundred fifteen thousand, one hundred twenty-seven".