2762228 has 36 divisors (see below), whose sum is σ = 5961060. Its totient is φ = 1112832.

The previous prime is 2762213. The next prime is 2762233. The reversal of 2762228 is 8222672.

2762228 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1882384 + 879844 = 1372^2 + 938^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2762228.

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, 2918 + ... + 3746.

It is an arithmetic number, because the mean of its divisors is an integer number (165585).

2^2762228 is an apocalyptic number.

2762228 is a gapful number since it is divisible by the number (28) 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 2762228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980530).

2762228 is an abundant number, since it is smaller than the sum of its proper divisors (3198832).

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

2762228 is a wasteful number, since it uses less digits than its factorization.

2762228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 855 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 2762228 is about 1661.9951865153. The cubic root of 2762228 is about 140.3093160935.

The spelling of 2762228 in words is "two million, seven hundred sixty-two thousand, two hundred twenty-eight".