2005300 has 36 divisors (see below), whose sum is σ = 4749696. Its totient is φ = 728800.

The previous prime is 2005277. The next prime is 2005319. The reversal of 2005300 is 35002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 189 + ... + 2011.

It is an arithmetic number, because the mean of its divisors is an integer number (131936).

2^2005300 is an apocalyptic number.

2005300 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 2005300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374848).

2005300 is an abundant number, since it is smaller than the sum of its proper divisors (2744396).

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

2005300 is a wasteful number, since it uses less digits than its factorization.

2005300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 2005300 is about 1416.0861555711. The cubic root of 2005300 is about 126.1032998512.

The spelling of 2005300 in words is "two million, five thousand, three hundred".