2261272 has 32 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 981504.

The previous prime is 2261269. The next prime is 2261297. The reversal of 2261272 is 2721622.

It is a super-2 number, since 2×2261272² = 10226702115968, which contains 22 as substring.

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, 1129 + ... + 2407.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

2^2261272 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 2261272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200).

2261272 is an abundant number, since it is smaller than the sum of its proper divisors (2577128).

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

2261272 is a wasteful number, since it uses less digits than its factorization.

2261272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1311 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 2261272 is about 1503.7526392329. The cubic root of 2261272 is about 131.2555275072.

Adding to 2261272 its reverse (2721622), we get a palindrome (4982894).

It can be divided in two parts, 226127 and 2, that multiplied together give a palindrome (452254).

The spelling of 2261272 in words is "two million, two hundred sixty-one thousand, two hundred seventy-two".