2210304 has 40 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 736256.

The previous prime is 2210303. The next prime is 2210309. The reversal of 2210304 is 4030122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2210304.

It is not an unprimeable number, because it can be changed into a prime (2210303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 817 + ... + 2255.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

2^2210304 is an apocalyptic number.

2210304 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 2210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

2210304 is an abundant number, since it is smaller than the sum of its proper divisors (3682176).

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

2210304 is an equidigital number, since it uses as much as digits as its factorization.

2210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2210304 is about 1486.7091174806. The cubic root of 2210304 is about 130.2618784166.

Adding to 2210304 its reverse (4030122), we get a palindrome (6240426).

The spelling of 2210304 in words is "two million, two hundred ten thousand, three hundred four".