2117875560 has 128 divisors (see below), whose sum is σ = 6677700480. Its totient is φ = 536675328.

The previous prime is 2117875549. The next prime is 2117875567. The reversal of 2117875560 is 655787112.

It is not an unprimeable number, because it can be changed into a prime (2117875567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185374 + ... + 196466.

It is an arithmetic number, because the mean of its divisors is an integer number (52169535).

Almost surely, 2^2117875560 is an apocalyptic number.

2117875560 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 2117875560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338850240).

2117875560 is an abundant number, since it is smaller than the sum of its proper divisors (4559824920).

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

2117875560 is a wasteful number, since it uses less digits than its factorization.

2117875560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11187 (or 11183 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 42.

The square root of 2117875560 is about 46020.3820062372. The cubic root of 2117875560 is about 1284.2024069264.

The spelling of 2117875560 in words is "two billion, one hundred seventeen million, eight hundred seventy-five thousand, five hundred sixty".