2265760 has 108 divisors (see below), whose sum is σ = 6614622. Its totient is φ = 731136.

The previous prime is 2265751. The next prime is 2265761. The reversal of 2265760 is 675622.

It can be written as a sum of positive squares in 3 ways, for example, as 2202256 + 63504 = 1484^2 + 252^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2265761) 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 17 ways as a sum of consecutive naturals, for example, 133272 + ... + 133288.

2^2265760 is an apocalyptic number.

2265760 is a gapful number since it is divisible by the number (20) 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 2265760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307311).

2265760 is an abundant number, since it is smaller than the sum of its proper divisors (4348862).

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

2265760 is a wasteful number, since it uses less digits than its factorization.

2265760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2265760 is about 1505.2441662401. The cubic root of 2265760 is about 131.3423054386.

It can be divided in two parts, 2265 and 760, that added together give a square (3025 = 55²).

The spelling of 2265760 in words is "two million, two hundred sixty-five thousand, seven hundred sixty".