2117027200 has 96 divisors (see below), whose sum is σ = 5398672320. Its totient is φ = 819456000.

The previous prime is 2117027183. The next prime is 2117027239. The reversal of 2117027200 is 27207112.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88530 + ... + 109870.

It is an arithmetic number, because the mean of its divisors is an integer number (56236170).

Almost surely, 2^2117027200 is an apocalyptic number.

2117027200 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 2117027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699336160).

2117027200 is an abundant number, since it is smaller than the sum of its proper divisors (3281645120).

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

2117027200 is a wasteful number, since it uses less digits than its factorization.

2117027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21396 (or 21379 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 2117027200 is about 46011.1638626975. The cubic root of 2117027200 is about 1284.0309125168.

The spelling of 2117027200 in words is "two billion, one hundred seventeen million, twenty-seven thousand, two hundred".