2261322 has 48 divisors (see below), whose sum is σ = 5683392. Its totient is φ = 636480.

The previous prime is 2261309. The next prime is 2261353. The reversal of 2261322 is 2231622.

It is a super-3 number, since 3×2261322³ = 34690333779623874744, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2⁵ + 2¹⁵ + 6³ + 1 + 3⁴ + 2¹⁷ + 2²¹ .

It is a junction number, because it is equal to n+sod(n) for n = 2261295 and 2261304.

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 23 ways as a sum of consecutive naturals, for example, 16438 + ... + 16574.

It is an arithmetic number, because the mean of its divisors is an integer number (118404).

2^2261322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841696).

2261322 is an abundant number, since it is smaller than the sum of its proper divisors (3422070).

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

2261322 is a wasteful number, since it uses less digits than its factorization.

2261322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 280 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 2261322 is about 1503.7692642158. The cubic root of 2261322 is about 131.2564949167.

Adding to 2261322 its reverse (2231622), we get a palindrome (4492944).

The spelling of 2261322 in words is "two million, two hundred sixty-one thousand, three hundred twenty-two".