2259264 has 84 divisors (see below), whose sum is σ = 7002272. Its totient is φ = 629760.

The previous prime is 2259241. The next prime is 2259281. The reversal of 2259264 is 4629522.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-4 number, since 4×2259264⁴ (a number of 27 digits) contains 4444 as substring.

It is a congruent number.

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, 55084 + ... + 55124.

2^2259264 is an apocalyptic number.

2259264 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 2259264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501136).

2259264 is an abundant number, since it is smaller than the sum of its proper divisors (4743008).

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

2259264 is an equidigital number, since it uses as much as digits as its factorization.

2259264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 53 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 2259264 is about 1503.0848279455. The cubic root of 2259264 is about 131.2166645499.

The spelling of 2259264 in words is "two million, two hundred fifty-nine thousand, two hundred sixty-four".