2117645123 has 32 divisors (see below), whose sum is σ = 2460057600. Its totient is φ = 1804874400.

The previous prime is 2117645119. The next prime is 2117645129. The reversal of 2117645123 is 3215467112.

It is a cyclic number.

It is not a de Polignac number, because 2117645123 - 2² = 2117645119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2117645123.

It is not an unprimeable number, because it can be changed into a prime (2117645129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2037638 + ... + 2038676.

It is an arithmetic number, because the mean of its divisors is an integer number (76876800).

Almost surely, 2^2117645123 is an apocalyptic number.

2117645123 is a deficient number, since it is larger than the sum of its proper divisors (342412477).

2117645123 is a wasteful number, since it uses less digits than its factorization.

2117645123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263.

The product of its digits is 10080, while the sum is 32.

The square root of 2117645123 is about 46017.8782974617. The cubic root of 2117645123 is about 1284.1558290428.

The spelling of 2117645123 in words is "two billion, one hundred seventeen million, six hundred forty-five thousand, one hundred twenty-three".