2258272 has 12 divisors (see below), whose sum is σ = 4446036. Its totient is φ = 1129120.

The previous prime is 2258261. The next prime is 2258273. The reversal of 2258272 is 2728522.

2258272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2 + 2¹⁰ + 5⁷ + 8⁷ + 2¹⁴ + 7² + 2¹⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 2258272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35254 + ... + 35317.

It is an arithmetic number, because the mean of its divisors is an integer number (370503).

2^2258272 is an apocalyptic number.

It is an amenable number.

2258272 is a deficient number, since it is larger than the sum of its proper divisors (2187764).

2258272 is an equidigital number, since it uses as much as digits as its factorization.

2258272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70581 (or 70573 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 2258272 is about 1502.7548036856. The cubic root of 2258272 is about 131.1974568216.

The spelling of 2258272 in words is "two million, two hundred fifty-eight thousand, two hundred seventy-two".