2117875100 has 108 divisors (see below), whose sum is σ = 5075841792. Its totient is φ = 766444800.

The previous prime is 2117875099. The next prime is 2117875103. The reversal of 2117875100 is 15787112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117875103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4634072 + ... + 4634528.

Almost surely, 2^2117875100 is an apocalyptic number.

2117875100 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 2117875100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537920896).

2117875100 is an abundant number, since it is smaller than the sum of its proper divisors (2957966692).

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

2117875100 is a wasteful number, since it uses less digits than its factorization.

2117875100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 32.

The square root of 2117875100 is about 46020.3770084514. The cubic root of 2117875100 is about 1284.2023139506.

The spelling of 2117875100 in words is "two billion, one hundred seventeen million, eight hundred seventy-five thousand, one hundred".