2005200 has 90 divisors (see below), whose sum is σ = 6971094. Its totient is φ = 533760.

The previous prime is 2005193. The next prime is 2005207. The reversal of 2005200 is 25002.

It is an interprime number because it is at equal distance from previous prime (2005193) and next prime (2005207).

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 2005056 = 12^2 + 1416^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3322 + ... + 3878.

2^2005200 is an apocalyptic number.

2005200 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 2005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485547).

2005200 is an abundant number, since it is smaller than the sum of its proper divisors (4965894).

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

2005200 is a wasteful number, since it uses less digits than its factorization.

2005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 2005200 is about 1416.0508465447. The cubic root of 2005200 is about 126.1012036495.

The spelling of 2005200 in words is "two million, five thousand, two hundred".