2117395456 has 132 divisors (see below), whose sum is σ = 4861313856. Its totient is φ = 919367680.

The previous prime is 2117395453. The next prime is 2117395459. The reversal of 2117395456 is 6545937112.

It is an interprime number because it is at equal distance from previous prime (2117395453) and next prime (2117395459).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2117395451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2849421 + ... + 2850163.

Almost surely, 2^2117395456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117395456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430656928).

2117395456 is an abundant number, since it is smaller than the sum of its proper divisors (2743918400).

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

2117395456 is a wasteful number, since it uses less digits than its factorization.

2117395456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 779 counting only the distinct ones).

The product of its digits is 226800, while the sum is 43.

The square root of 2117395456 is about 46015.1655000827. The cubic root of 2117395456 is about 1284.1053604145.

The spelling of 2117395456 in words is "two billion, one hundred seventeen million, three hundred ninety-five thousand, four hundred fifty-six".