2117200 has 60 divisors (see below), whose sum is σ = 5227840. Its totient is φ = 823680.

The previous prime is 2117179. The next prime is 2117233. The reversal of 2117200 is 27112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26761 + ... + 26839.

2^2117200 is an apocalyptic number.

2117200 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 2117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613920).

2117200 is an abundant number, since it is smaller than the sum of its proper divisors (3110640).

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

2117200 is a wasteful number, since it uses less digits than its factorization.

2117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 2117200 is about 1455.0601362143. The cubic root of 2117200 is about 128.4065847433.

The spelling of 2117200 in words is "two million, one hundred seventeen thousand, two hundred".