2004333100 has 144 divisors (see below), whose sum is σ = 5462150400. Its totient is φ = 620179200.

The previous prime is 2004333083. The next prime is 2004333101. The reversal of 2004333100 is 13334002.

It is a super-2 number, since 2×2004333100² = 8034702351511220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2004333101) 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 47 ways as a sum of consecutive naturals, for example, 1146427 + ... + 1148173.

It is an arithmetic number, because the mean of its divisors is an integer number (37931600).

Almost surely, 2^2004333100 is an apocalyptic number.

2004333100 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 2004333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731075200).

2004333100 is an abundant number, since it is smaller than the sum of its proper divisors (3457817300).

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

2004333100 is a wasteful number, since it uses less digits than its factorization.

2004333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2004333100 is about 44769.7788692328. The cubic root of 2004333100 is about 1260.8302875579.

Adding to 2004333100 its reverse (13334002), we get a palindrome (2017667102).

The spelling of 2004333100 in words is "two billion, four million, three hundred thirty-three thousand, one hundred".