2004214133 has 32 divisors (see below), whose sum is σ = 2232489600. Its totient is φ = 1797589248.

The previous prime is 2004214127. The next prime is 2004214153. The reversal of 2004214133 is 3314124002.

It is not a de Polignac number, because 2004214133 - 2⁴ = 2004214117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004214123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11196638 + ... + 11196816.

It is an arithmetic number, because the mean of its divisors is an integer number (69765300).

Almost surely, 2^2004214133 is an apocalyptic number.

It is an amenable number.

2004214133 is a deficient number, since it is larger than the sum of its proper divisors (228275467).

2004214133 is an equidigital number, since it uses as much as digits as its factorization.

2004214133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2004214133 is about 44768.4501965391. The cubic root of 2004214133 is about 1260.8053415772.

Adding to 2004214133 its reverse (3314124002), we get a palindrome (5318338135).

The spelling of 2004214133 in words is "two billion, four million, two hundred fourteen thousand, one hundred thirty-three".