2107200 has 84 divisors (see below), whose sum is σ = 6929120. Its totient is φ = 560640.

The previous prime is 2107199. The next prime is 2107207. The reversal of 2107200 is 27012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4581 + ... + 5019.

2^2107200 is an apocalyptic number.

2107200 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 2107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464560).

2107200 is an abundant number, since it is smaller than the sum of its proper divisors (4821920).

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

2107200 is a wasteful number, since it uses less digits than its factorization.

2107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 2107200 is about 1451.6197849299. The cubic root of 2107200 is about 128.2041014619.

The spelling of 2107200 in words is "two million, one hundred seven thousand, two hundred".