2259216 has 60 divisors (see below), whose sum is σ = 6552780. Its totient is φ = 725760.

The previous prime is 2259211. The next prime is 2259217. The reversal of 2259216 is 6129522.

It can be written as a sum of positive squares in 2 ways, for example, as 1040400 + 1218816 = 1020^2 + 1104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2259216.

It is not an unprimeable number, because it can be changed into a prime (2259211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3906 + ... + 4446.

It is an arithmetic number, because the mean of its divisors is an integer number (109213).

2^2259216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276390).

2259216 is an abundant number, since it is smaller than the sum of its proper divisors (4293564).

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

2259216 is a wasteful number, since it uses less digits than its factorization.

2259216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 575 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2259216 is about 1503.0688606980. The cubic root of 2259216 is about 131.2157352732.

It can be divided in two parts, 225 and 9216, that multiplied together give a square (2073600 = 1440²).

The spelling of 2259216 in words is "two million, two hundred fifty-nine thousand, two hundred sixteen".