2117578403405 has 64 divisors (see below), whose sum is σ = 2837237760000. Its totient is φ = 1510991919360.

The previous prime is 2117578403387. The next prime is 2117578403407. The reversal of 2117578403405 is 5043048757112.

It is not a de Polignac number, because 2117578403405 - 2²⁴ = 2117561626189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2117578403405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117578403407) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 51568592 + ... + 51609638.

It is an arithmetic number, because the mean of its divisors is an integer number (44331840000).

Almost surely, 2^{2117578403405} is an apocalyptic number.

It is an amenable number.

2117578403405 is a deficient number, since it is larger than the sum of its proper divisors (719659356595).

2117578403405 is a wasteful number, since it uses less digits than its factorization.

2117578403405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41634.

The product of its (nonzero) digits is 940800, while the sum is 47.

The spelling of 2117578403405 in words is "two trillion, one hundred seventeen billion, five hundred seventy-eight million, four hundred three thousand, four hundred five".