2307264 has 56 divisors (see below), whose sum is σ = 6236208. Its totient is φ = 752640.

The previous prime is 2307259. The next prime is 2307281. The reversal of 2307264 is 4627032.

2307264 is digitally balanced in base 5, 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11614 + ... + 11810.

2^2307264 is an apocalyptic number.

2307264 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 2307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118104).

2307264 is an abundant number, since it is smaller than the sum of its proper divisors (3928944).

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

2307264 is a wasteful number, since it uses less digits than its factorization.

2307264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2307264 is about 1518.9680707638. The cubic root of 2307264 is about 132.1394302635.

The spelling of 2307264 in words is "two million, three hundred seven thousand, two hundred sixty-four".