2228768 has 36 divisors (see below), whose sum is σ = 4680522. Its totient is φ = 1044480.

The previous prime is 2228753. The next prime is 2228771. The reversal of 2228768 is 8678222.

It can be written as a sum of positive squares in 3 ways, for example, as 2226064 + 2704 = 1492^2 + 52^2 .

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9128 + ... + 9368.

2^2228768 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 2228768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340261).

2228768 is an abundant number, since it is smaller than the sum of its proper divisors (2451754).

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

2228768 is a wasteful number, since it uses less digits than its factorization.

2228768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 260 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 2228768 is about 1492.9058912068. The cubic root of 2228768 is about 130.6235917066.

The spelling of 2228768 in words is "two million, two hundred twenty-eight thousand, seven hundred sixty-eight".