2117936160 has 240 divisors, whose sum is σ = 7915052376. Its totient is φ = 531505152.

The previous prime is 2117936131. The next prime is 2117936167. The reversal of 2117936160 is 616397112.

2117936160 is a `hidden beast` number, since 21 + 17 + 9 + 3 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2113424784 + 4511376 = 45972^2 + 2124^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2117936167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 215514 + ... + 225126.

Almost surely, 2^2117936160 is an apocalyptic number.

2117936160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117936160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957526188).

2117936160 is an abundant number, since it is smaller than the sum of its proper divisors (5797116216).

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

2117936160 is a wasteful number, since it uses less digits than its factorization.

2117936160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9657 (or 9640 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2117936160 is about 46021.0404054493. The cubic root of 2117936160 is about 1284.2146553520.

The spelling of 2117936160 in words is "two billion, one hundred seventeen million, nine hundred thirty-six thousand, one hundred sixty".