2191200 has 144 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 524800.

The previous prime is 2191199. The next prime is 2191229. The reversal of 2191200 is 21912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2191200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26359 + ... + 26441.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2^2191200 is an apocalyptic number.

2191200 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 2191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

2191200 is an abundant number, since it is smaller than the sum of its proper divisors (5683296).

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

2191200 is a wasteful number, since it uses less digits than its factorization.

2191200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2191200 is about 1480.2702455971. The cubic root of 2191200 is about 129.8855007608.

Multiplying 2191200 by its reverse (21912), we get a square (48013574400 = 219120²).

2191200 divided by its reverse (21912) gives a square (100 = 10²).

The spelling of 2191200 in words is "two million, one hundred ninety-one thousand, two hundred".