2004435200 has 108 divisors (see below), whose sum is σ = 5121838848. Its totient is φ = 775833600.

The previous prime is 2004435187. The next prime is 2004435217. The reversal of 2004435200 is 25344002.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 193349 + ... + 203451.

Almost surely, 2^2004435200 is an apocalyptic number.

2004435200 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 2004435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560919424).

2004435200 is an abundant number, since it is smaller than the sum of its proper divisors (3117403648).

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

2004435200 is a wasteful number, since it uses less digits than its factorization.

2004435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10160 (or 10141 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2004435200 is about 44770.9191328478. The cubic root of 2004435200 is about 1260.8516959400.

Adding to 2004435200 its reverse (25344002), we get a palindrome (2029779202).

The spelling of 2004435200 in words is "two billion, four million, four hundred thirty-five thousand, two hundred".