2004213224 has 32 divisors (see below), whose sum is σ = 4088710920. Its totient is φ = 915480576.

The previous prime is 2004213223. The next prime is 2004213227. The reversal of 2004213224 is 4223124002.

It can be written as a sum of positive squares in 4 ways, for example, as 1057420324 + 946792900 = 32518^2 + 30770^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2004213196 and 2004213205.

It is not an unprimeable number, because it can be changed into a prime (2004213223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89249 + ... + 109424.

Almost surely, 2^2004213224 is an apocalyptic number.

It is an amenable number.

2004213224 is an abundant number, since it is smaller than the sum of its proper divisors (2084497696).

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

2004213224 is a wasteful number, since it uses less digits than its factorization.

2004213224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198789 (or 198785 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2004213224 is about 44768.4400442991. The cubic root of 2004213224 is about 1260.8051509668.

Adding to 2004213224 its reverse (4223124002), we get a palindrome (6227337226).

The spelling of 2004213224 in words is "two billion, four million, two hundred thirteen thousand, two hundred twenty-four".