2213772 has 48 divisors (see below), whose sum is σ = 5827584. Its totient is φ = 648000.

The previous prime is 2213759. The next prime is 2213789. The reversal of 2213772 is 2773122.

Its product of digits (1176) is a multiple of the sum of its prime divisors (588).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3822 + ... + 4362.

It is an arithmetic number, because the mean of its divisors is an integer number (121408).

2^2213772 is an apocalyptic number.

2213772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913792).

2213772 is an abundant number, since it is smaller than the sum of its proper divisors (3613812).

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

2213772 is a wasteful number, since it uses less digits than its factorization.

2213772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 588 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 2213772 is about 1487.8749947492. The cubic root of 2213772 is about 130.3299704277.

Adding to 2213772 its reverse (2773122), we get a palindrome (4986894).

It can be divided in two parts, 221 and 3772, that added together give a palindrome (3993).

The spelling of 2213772 in words is "two million, two hundred thirteen thousand, seven hundred seventy-two".