2117880 has 128 divisors (see below), whose sum is σ = 7387200. Its totient is φ = 539136.

The previous prime is 2117861. The next prime is 2117887. The reversal of 2117880 is 887112.

2117880 = 120² + 121² + ... + 200².

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117887) 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, 39934 + ... + 39986.

2^2117880 is an apocalyptic number.

2117880 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 2117880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693600).

2117880 is an abundant number, since it is smaller than the sum of its proper divisors (5269320).

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

2117880 is a wasteful number, since it uses less digits than its factorization.

2117880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 2117880 is about 1455.2937847734. The cubic root of 2117880 is about 128.4203304344.

The spelling of 2117880 in words is "two million, one hundred seventeen thousand, eight hundred eighty".