2228800 has 84 divisors (see below), whose sum is σ = 6299200. Its totient is φ = 760320.

The previous prime is 2228797. The next prime is 2228813. The reversal of 2228800 is 88222.

It is a d-powerful number, because it can be written as 2¹⁷ + 2²⁰ + 2²⁰ + 8² + 8³ + 0 + 0 .

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11101 + ... + 11299.

2^2228800 is an apocalyptic number.

2228800 is a gapful number since it is divisible by the number (20) 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 2228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149600).

2228800 is an abundant number, since it is smaller than the sum of its proper divisors (4070400).

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

2228800 is a wasteful number, since it uses less digits than its factorization.

2228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2228800 is about 1492.9166085217. The cubic root of 2228800 is about 130.6242168554.

The spelling of 2228800 in words is "two million, two hundred twenty-eight thousand, eight hundred".