2228968 has 32 divisors (see below), whose sum is σ = 4872960. Its totient is φ = 936000.

The previous prime is 2228959. The next prime is 2228971. The reversal of 2228968 is 8698222.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2593 + ... + 3343.

It is an arithmetic number, because the mean of its divisors is an integer number (152280).

2^2228968 is an apocalyptic number.

2228968 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 2228968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436480).

2228968 is an abundant number, since it is smaller than the sum of its proper divisors (2643992).

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

2228968 is a wasteful number, since it uses less digits than its factorization.

2228968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 813 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 2228968 is about 1492.9728731628. The cubic root of 2228968 is about 130.6274987885.

The spelling of 2228968 in words is "two million, two hundred twenty-eight thousand, nine hundred sixty-eight".