2164172887296 has 216 divisors, whose sum is σ = 7550736508224. Its totient is φ = 581962383360.

The previous prime is 2164172887213. The next prime is 2164172887307. The reversal of 2164172887296 is 6927882714612.

It is a happy number.

2164172887296 is a `hidden beast` number, since 2 + 1 + 64 + 1 + 7 + 288 + 7 + 296 = 666.

It is a super-2 number, since 2×2164172887296² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3672510 + ... + 4220861.

It is an arithmetic number, because the mean of its divisors is an integer number (34957113464).

Almost surely, 2^{2164172887296} is an apocalyptic number.

It is an amenable number.

2164172887296 is an abundant number, since it is smaller than the sum of its proper divisors (5386563620928).

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

2164172887296 is a wasteful number, since it uses less digits than its factorization.

2164172887296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7893417 (or 7893400 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 2164172887296 in words is "two trillion, one hundred sixty-four billion, one hundred seventy-two million, eight hundred eighty-seven thousand, two hundred ninety-six".