2265768 has 24 divisors (see below), whose sum is σ = 6136650. Its totient is φ = 755232.

The previous prime is 2265761. The next prime is 2265779. The reversal of 2265768 is 8675622.

It can be written as a sum of positive squares in only one way, i.e., 1954404 + 311364 = 1398^2 + 558^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2265761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15663 + ... + 15806.

2^2265768 is an apocalyptic number.

It is an amenable number.

2265768 is an abundant number, since it is smaller than the sum of its proper divisors (3870882).

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

2265768 is a wasteful number, since it uses less digits than its factorization.

2265768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31481 (or 31474 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2265768 is about 1505.2468236140. The cubic root of 2265768 is about 131.3424600206.

The spelling of 2265768 in words is "two million, two hundred sixty-five thousand, seven hundred sixty-eight".