2004102033 has 16 divisors (see below), whose sum is σ = 2790702720. Its totient is φ = 1276884224.

The previous prime is 2004102031. The next prime is 2004102041. The reversal of 2004102033 is 3302014002.

It is a cyclic number.

It is not a de Polignac number, because 2004102033 - 2¹ = 2004102031 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2004102031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72985 + ... + 96617.

It is an arithmetic number, because the mean of its divisors is an integer number (174418920).

Almost surely, 2^2004102033 is an apocalyptic number.

2004102033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2004102033 is a deficient number, since it is larger than the sum of its proper divisors (786600687).

2004102033 is a wasteful number, since it uses less digits than its factorization.

2004102033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24888.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2004102033 is about 44767.1981812577. The cubic root of 2004102033 is about 1260.7818346223.

Adding to 2004102033 its reverse (3302014002), we get a palindrome (5306116035).

The spelling of 2004102033 in words is "two billion, four million, one hundred two thousand, thirty-three".