2257281 has 32 divisors (see below), whose sum is σ = 3696000. Its totient is φ = 1353024.

The previous prime is 2257247. The next prime is 2257291. The reversal of 2257281 is 1827522.

It is not a de Polignac number, because 2257281 - 2¹¹ = 2255233 is a prime.

It is a super-2 number, since 2×2257281² = 10190635025922, which contains 22 as substring.

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

2257281 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2257291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20655 + ... + 20763.

It is an arithmetic number, because the mean of its divisors is an integer number (115500).

2^2257281 is an apocalyptic number.

It is an amenable number.

2257281 is a deficient number, since it is larger than the sum of its proper divisors (1438719).

2257281 is a wasteful number, since it uses less digits than its factorization.

2257281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2257281 is about 1502.4250397274. The cubic root of 2257281 is about 131.1782628387.

The spelling of 2257281 in words is "two million, two hundred fifty-seven thousand, two hundred eighty-one".