2139200 has 84 divisors (see below), whose sum is σ = 6047232. Its totient is φ = 729600.

The previous prime is 2139199. The next prime is 2139211. The reversal of 2139200 is 29312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11105 + ... + 11295.

2^2139200 is an apocalyptic number.

2139200 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 2139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023616).

2139200 is an abundant number, since it is smaller than the sum of its proper divisors (3908032).

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

2139200 is a wasteful number, since it uses less digits than its factorization.

2139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2139200 is about 1462.6004239026. The cubic root of 2139200 is about 128.8498141999.

The spelling of 2139200 in words is "two million, one hundred thirty-nine thousand, two hundred".