2004330100 has 36 divisors (see below), whose sum is σ = 4455488268. Its totient is φ = 782176000.

The previous prime is 2004330089. The next prime is 2004330103. The reversal of 2004330100 is 10334002.

It can be written as a sum of positive squares in 6 ways, for example, as 46621584 + 1957708516 = 6828^2 + 44246^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004330103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240331 + ... + 248530.

It is an arithmetic number, because the mean of its divisors is an integer number (123763563).

Almost surely, 2^2004330100 is an apocalyptic number.

2004330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004330100 is an abundant number, since it is smaller than the sum of its proper divisors (2451158168).

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

2004330100 is a wasteful number, since it uses less digits than its factorization.

2004330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488916 (or 488909 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2004330100 is about 44769.7453644758. The cubic root of 2004330100 is about 1260.8296585054.

Adding to 2004330100 its reverse (10334002), we get a palindrome (2014664102).

The spelling of 2004330100 in words is "two billion, four million, three hundred thirty thousand, one hundred".