2268576 has 36 divisors (see below), whose sum is σ = 6452082. Its totient is φ = 756096.

The previous prime is 2268557. The next prime is 2268577. The reversal of 2268576 is 6758622.

2268576 is a `hidden beast` number, since 22 + 68 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2178576 + 90000 = 1476^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a d-powerful number, because it can be written as 2 + 2⁷ + 6³ + 8⁵ + 5⁹ + 7⁴ + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 2268576.

It is not an unprimeable number, because it can be changed into a prime (2268577) 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, 3651 + ... + 4226.

2^2268576 is an apocalyptic number.

It is an amenable number.

2268576 is an abundant number, since it is smaller than the sum of its proper divisors (4183506).

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

2268576 is a wasteful number, since it uses less digits than its factorization.

2268576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7893 (or 7882 counting only the distinct ones).

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

The square root of 2268576 is about 1506.1792721984. The cubic root of 2268576 is about 131.3966958435.

The spelling of 2268576 in words is "two million, two hundred sixty-eight thousand, five hundred seventy-six".