2004034321233 has 192 divisors, whose sum is σ = 3567603916800. Its totient is φ = 1107954288000.

The previous prime is 2004034321193. The next prime is 2004034321241. The reversal of 2004034321233 is 3321234304002.

2004034321233 is a `hidden beast` number, since 2 + 0 + 0 + 403 + 4 + 3 + 21 + 233 = 666.

It is not a de Polignac number, because 2004034321233 - 2⁶ = 2004034321169 is a prime.

It is a super-3 number, since 3×2004034321233³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2004034321197 and 2004034321206.

It is not an unprimeable number, because it can be changed into a prime (2004034321283) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4183787488 + ... + 4183787966.

It is an arithmetic number, because the mean of its divisors is an integer number (18581270400).

Almost surely, 2^{2004034321233} is an apocalyptic number.

It is an amenable number.

2004034321233 is a deficient number, since it is larger than the sum of its proper divisors (1563569595567).

2004034321233 is a wasteful number, since it uses less digits than its factorization.

2004034321233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2004034321233 its reverse (3321234304002), we get a palindrome (5325268625235).

The spelling of 2004034321233 in words is "two trillion, four billion, thirty-four million, three hundred twenty-one thousand, two hundred thirty-three".