2004130800 has 360 divisors, whose sum is σ = 8073876096. Its totient is φ = 450869760.

The previous prime is 2004130787. The next prime is 2004130801. The reversal of 2004130800 is 80314002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004130801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1687807 + ... + 1688993.

Almost surely, 2^2004130800 is an apocalyptic number.

2004130800 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 2004130800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036938048).

2004130800 is an abundant number, since it is smaller than the sum of its proper divisors (6069745296).

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

2004130800 is a wasteful number, since it uses less digits than its factorization.

2004130800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2004130800 is about 44767.5194756198. The cubic root of 2004130800 is about 1260.7878670393.

Adding to 2004130800 its reverse (80314002), we get a palindrome (2084444802).

The spelling of 2004130800 in words is "two billion, four million, one hundred thirty thousand, eight hundred".