2004222400 has 42 divisors (see below), whose sum is σ = 4931643680. Its totient is φ = 801688320.

The previous prime is 2004222397. The next prime is 2004222413. The reversal of 2004222400 is 42224002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 624720 + ... + 627919.

Almost surely, 2^2004222400 is an apocalyptic number.

2004222400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004222400 is an abundant number, since it is smaller than the sum of its proper divisors (2927421280).

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

2004222400 is a wasteful number, since it uses less digits than its factorization.

2004222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252661 (or 1252646 counting only the distinct ones).

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

The square root of 2004222400 is about 44768.5425270915. The cubic root of 2004222400 is about 1260.8070751018.

Adding to 2004222400 its reverse (42224002), we get a palindrome (2046446402).

The spelling of 2004222400 in words is "two billion, four million, two hundred twenty-two thousand, four hundred".