2045600 has 36 divisors (see below), whose sum is σ = 4995774. Its totient is φ = 817920.

The previous prime is 2045599. The next prime is 2045609. The reversal of 2045600 is 65402.

It can be written as a sum of positive squares in 3 ways, for example, as 1449616 + 595984 = 1204^2 + 772^2 .

It is not an unprimeable number, because it can be changed into a prime (2045609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 479 + ... + 2078.

2^2045600 is an apocalyptic number.

2045600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045600 is an abundant number, since it is smaller than the sum of its proper divisors (2950174).

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

2045600 is a wasteful number, since it uses less digits than its factorization.

2045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2045600 is about 1430.2447343025. The cubic root of 2045600 is about 126.9424584845.

The spelling of 2045600 in words is "two million, forty-five thousand, six hundred".