2145200 has 60 divisors (see below), whose sum is σ = 5350848. Its totient is φ = 825600.

The previous prime is 2145197. The next prime is 2145239. The reversal of 2145200 is 25412.

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, 12314 + ... + 12486.

2^2145200 is an apocalyptic number.

2145200 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 2145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675424).

2145200 is an abundant number, since it is smaller than the sum of its proper divisors (3205648).

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

2145200 is a wasteful number, since it uses less digits than its factorization.

2145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2145200 is about 1464.6501288704. The cubic root of 2145200 is about 128.9701671694.

The spelling of 2145200 in words is "two million, one hundred forty-five thousand, two hundred".