2266272 has 96 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 725760.

The previous prime is 2266267. The next prime is 2266283. The reversal of 2266272 is 2726622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37122 + ... + 37182.

It is an arithmetic number, because the mean of its divisors is an integer number (71610).

2^2266272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2266272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

2266272 is an abundant number, since it is smaller than the sum of its proper divisors (4608288).

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

2266272 is a wasteful number, since it uses less digits than its factorization.

2266272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 2266272 is about 1505.4142287092. The cubic root of 2266272 is about 131.3521979538.

The spelling of 2266272 in words is "two million, two hundred sixty-six thousand, two hundred seventy-two".