2278128 has 40 divisors (see below), whose sum is σ = 6078976. Its totient is φ = 734400.

The previous prime is 2278121. The next prime is 2278139. The reversal of 2278128 is 8218722.

It is a happy number.

2278128 is nontrivially palindromic in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 2278095 and 2278104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2278121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723 + ... + 2253.

2^2278128 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 2278128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039488).

2278128 is an abundant number, since it is smaller than the sum of its proper divisors (3800848).

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

2278128 is a wasteful number, since it uses less digits than its factorization.

2278128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1567 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 2278128 is about 1509.3468786200. The cubic root of 2278128 is about 131.5808559779.

The spelling of 2278128 in words is "two million, two hundred seventy-eight thousand, one hundred twenty-eight".