2045200 has 30 divisors (see below), whose sum is σ = 4914554. Its totient is φ = 817920.

The previous prime is 2045191. The next prime is 2045213. The reversal of 2045200 is 25402.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 2027776 = 132^2 + 1424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2157 + ... + 2956.

2^2045200 is an apocalyptic number.

2045200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045200 is an abundant number, since it is smaller than the sum of its proper divisors (2869354).

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

2045200 is a wasteful number, since it uses less digits than its factorization.

2045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2045200 is about 1430.1048912580. The cubic root of 2045200 is about 126.9341837659.

The spelling of 2045200 in words is "two million, forty-five thousand, two hundred".