2259306 has 64 divisors (see below), whose sum is σ = 5913600. Its totient is φ = 625968.

The previous prime is 2259293. The next prime is 2259329. The reversal of 2259306 is 6039522.

2259306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2259306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16185 + ... + 16323.

It is an arithmetic number, because the mean of its divisors is an integer number (92400).

2^2259306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956800).

2259306 is an abundant number, since it is smaller than the sum of its proper divisors (3654294).

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

2259306 is a wasteful number, since it uses less digits than its factorization.

2259306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2259306 is about 1503.0987991479. The cubic root of 2259306 is about 131.2174776563.

The spelling of 2259306 in words is "two million, two hundred fifty-nine thousand, three hundred six".