2569216 has 44 divisors (see below), whose sum is σ = 5559652. Its totient is φ = 1179648.

The previous prime is 2569213. The next prime is 2569253. The reversal of 2569216 is 6129652.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 2073600 = 704^2 + 1440^2 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2569213) 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, 13216 + ... + 13408.

2^2569216 is an apocalyptic number.

2569216 is a gapful number since it is divisible by the number (26) 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 2569216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779826).

2569216 is an abundant number, since it is smaller than the sum of its proper divisors (2990436).

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

2569216 is a wasteful number, since it uses less digits than its factorization.

2569216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 2569216 is about 1602.8774126551. The cubic root of 2569216 is about 136.9620368288.

It can be divided in two parts, 256 and 9216, that multiplied together give a square (2359296 = 1536²).

The spelling of 2569216 in words is "two million, five hundred sixty-nine thousand, two hundred sixteen".