2004214311 has 12 divisors (see below), whose sum is σ = 3158156040. Its totient is φ = 1214675280.

The previous prime is 2004214271. The next prime is 2004214313. The reversal of 2004214311 is 1134124002.

2004214311 is a `hidden beast` number, since 200 + 421 + 43 + 1 + 1 = 666.

It is not a de Polignac number, because 2004214311 - 2²² = 2000020007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004214313) 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 11 ways as a sum of consecutive naturals, for example, 10122196 + ... + 10122393.

It is an arithmetic number, because the mean of its divisors is an integer number (263179670).

Almost surely, 2^2004214311 is an apocalyptic number.

2004214311 is a deficient number, since it is larger than the sum of its proper divisors (1153941729).

2004214311 is a wasteful number, since it uses less digits than its factorization.

2004214311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20244606 (or 20244603 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2004214311 is about 44768.4521845462. The cubic root of 2004214311 is about 1260.8053789025.

Adding to 2004214311 its reverse (1134124002), we get a palindrome (3138338313).

The spelling of 2004214311 in words is "two billion, four million, two hundred fourteen thousand, three hundred eleven".