2045300 has 36 divisors (see below), whose sum is σ = 4502316. Its totient is φ = 806400.

The previous prime is 2045213. The next prime is 2045311. The reversal of 2045300 is 35402.

It can be written as a sum of positive squares in 6 ways, for example, as 1069156 + 976144 = 1034^2 + 988^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11210 + ... + 11390.

2^2045300 is an apocalyptic number.

2045300 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 2045300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251158).

2045300 is an abundant number, since it is smaller than the sum of its proper divisors (2457016).

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

2045300 is a wasteful number, since it uses less digits than its factorization.

2045300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2045300 is about 1430.1398533011. The cubic root of 2045300 is about 126.9362525467.

The spelling of 2045300 in words is "two million, forty-five thousand, three hundred".