2772224 has 108 divisors (see below), whose sum is σ = 7340004. Its totient is φ = 1032192.

The previous prime is 2772199. The next prime is 2772227. The reversal of 2772224 is 4222772.

It is a happy number.

It is a Cunningham number, because it is equal to 1665²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 1254400 + 1517824 = 1120^2 + 1232^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a d-powerful number, because it can be written as 2³ + 7³ + 7⁶ + 2¹⁵ + 2¹⁹ + 2²¹ + 4² .

It is a junction number, because it is equal to n+sod(n) for n = 2772193 and 2772202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772227) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 163064 + ... + 163080.

It is an arithmetic number, because the mean of its divisors is an integer number (67963).

2^2772224 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 2772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670002).

2772224 is an abundant number, since it is smaller than the sum of its proper divisors (4567780).

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

2772224 is a wasteful number, since it uses less digits than its factorization.

2772224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 39 counting only the distinct ones).

The product of its digits is 3136, while the sum is 26.

The square root of 2772224 is about 1664.9996996997. Note that the first 3 decimals coincide. The cubic root of 2772224 is about 140.4783636258.

Adding to 2772224 its reverse (4222772), we get a palindrome (6994996).

The spelling of 2772224 in words is "two million, seven hundred seventy-two thousand, two hundred twenty-four".