2288268 has 36 divisors (see below), whose sum is σ = 6126120. Its totient is φ = 717696.

The previous prime is 2288267. The next prime is 2288281. The reversal of 2288268 is 8628822.

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 not an unprimeable number, because it can be changed into a prime (2288261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1258 + ... + 2481.

It is an arithmetic number, because the mean of its divisors is an integer number (170170).

2^2288268 is an apocalyptic number.

It is an amenable number.

2288268 is an abundant number, since it is smaller than the sum of its proper divisors (3837852).

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

2288268 is a wasteful number, since it uses less digits than its factorization.

2288268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3761 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 2288268 is about 1512.7022178869. The cubic root of 2288268 is about 131.7757901809.

It can be divided in two parts, 2288 and 268, that added together give a triangular number (2556 = T₇₁).

The spelling of 2288268 in words is "two million, two hundred eighty-eight thousand, two hundred sixty-eight".