2772216 has 48 divisors (see below), whose sum is σ = 7589400. Its totient is φ = 914112.

The previous prime is 2772199. The next prime is 2772227. The reversal of 2772216 is 6122772.

2772216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2772216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9870 + ... + 10146.

2^2772216 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 2772216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794700).

2772216 is an abundant number, since it is smaller than the sum of its proper divisors (4817184).

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

2772216 is a wasteful number, since it uses less digits than its factorization.

2772216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 421 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 2772216 is about 1664.9972972951. The cubic root of 2772216 is about 140.4782284963.

Adding to 2772216 its reverse (6122772), we get a palindrome (8894988).

The spelling of 2772216 in words is "two million, seven hundred seventy-two thousand, two hundred sixteen".