2004531200 has 432 divisors, whose sum is σ = 6251787360. Its totient is φ = 633077760.

The previous prime is 2004531181. The next prime is 2004531211. The reversal of 2004531200 is 21354002.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42649577 + ... + 42649623.

It is an arithmetic number, because the mean of its divisors is an integer number (14471730).

Almost surely, 2^2004531200 is an apocalyptic number.

2004531200 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 2004531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125893680).

2004531200 is an abundant number, since it is smaller than the sum of its proper divisors (4247256160).

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

2004531200 is a wasteful number, since it uses less digits than its factorization.

2004531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2004531200 is about 44771.9912445270. The cubic root of 2004531200 is about 1260.8718246078.

Adding to 2004531200 its reverse (21354002), we get a palindrome (2025885202).

The spelling of 2004531200 in words is "two billion, four million, five hundred thirty-one thousand, two hundred".