2004224020 has 24 divisors (see below), whose sum is σ = 4241004768. Its totient is φ = 795568800.

The previous prime is 2004224011. The next prime is 2004224077. The reversal of 2004224020 is 204224002.

It is a junction number, because it is equal to n+sod(n) for n = 2004223985 and 2004224003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379866 + ... + 385105.

It is an arithmetic number, because the mean of its divisors is an integer number (176708532).

Almost surely, 2^2004224020 is an apocalyptic number.

2004224020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004224020 is an abundant number, since it is smaller than the sum of its proper divisors (2236780748).

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

2004224020 is a wasteful number, since it uses less digits than its factorization.

2004224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765111 (or 765109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2004224020 is about 44768.5606201495. The cubic root of 2004224020 is about 1260.8074148024.

Adding to 2004224020 its reverse (204224002), we get a palindrome (2208448022).

The spelling of 2004224020 in words is "two billion, four million, two hundred twenty-four thousand, twenty".