2254272 has 56 divisors (see below), whose sum is σ = 6096000. Its totient is φ = 734976.

The previous prime is 2254267. The next prime is 2254283. The reversal of 2254272 is 2724522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2¹³ + 2¹⁷ + 5² + 4⁵ + 2²⁰ + 7⁵ + 2²⁰ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11229 + ... + 11427.

2^2254272 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 2254272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048000).

2254272 is an abundant number, since it is smaller than the sum of its proper divisors (3841728).

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

2254272 is a wasteful number, since it uses less digits than its factorization.

2254272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its digits is 2240, while the sum is 24.

The square root of 2254272 is about 1501.4233247156. The cubic root of 2254272 is about 131.1199491845.

Adding to 2254272 its reverse (2724522), we get a palindrome (4978794).

The spelling of 2254272 in words is "two million, two hundred fifty-four thousand, two hundred seventy-two".