2095200 has 144 divisors (see below), whose sum is σ = 7655760. Its totient is φ = 552960.

The previous prime is 2095193. The next prime is 2095201. The reversal of 2095200 is 25902.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2095201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21552 + ... + 21648.

It is an arithmetic number, because the mean of its divisors is an integer number (53165).

2^2095200 is an apocalyptic number.

2095200 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 2095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827880).

2095200 is an abundant number, since it is smaller than the sum of its proper divisors (5560560).

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

2095200 is a wasteful number, since it uses less digits than its factorization.

2095200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2095200 is about 1447.4805698178. The cubic root of 2095200 is about 127.9602741304.

The spelling of 2095200 in words is "two million, ninety-five thousand, two hundred".