2004200 has 48 divisors (see below), whose sum is σ = 5088960. Its totient is φ = 728000.

The previous prime is 2004137. The next prime is 2004209. The reversal of 2004200 is 24002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2004209) 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 11 ways as a sum of consecutive naturals, for example, 1745 + ... + 2655.

It is an arithmetic number, because the mean of its divisors is an integer number (106020).

2^2004200 is an apocalyptic number.

2004200 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 2004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544480).

2004200 is an abundant number, since it is smaller than the sum of its proper divisors (3084760).

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

2004200 is a wasteful number, since it uses less digits than its factorization.

2004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2004200 is about 1415.6977078459. The cubic root of 2004200 is about 126.0802377988.

Adding to 2004200 its reverse (24002), we get a palindrome (2028202).

The spelling of 2004200 in words is "two million, four thousand, two hundred".