2008224 has 72 divisors (see below), whose sum is σ = 6027840. Its totient is φ = 632448.

The previous prime is 2008219. The next prime is 2008231. The reversal of 2008224 is 4228002.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2008197 and 2008206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5289 + ... + 5655.

It is an arithmetic number, because the mean of its divisors is an integer number (83720).

2^2008224 is an apocalyptic number.

2008224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013920).

2008224 is an abundant number, since it is smaller than the sum of its proper divisors (4019616).

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

2008224 is a wasteful number, since it uses less digits than its factorization.

2008224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2008224 is about 1417.1182025505. The cubic root of 2008224 is about 126.1645620025.

The spelling of 2008224 in words is "two million, eight thousand, two hundred twenty-four".