2228560 has 40 divisors (see below), whose sum is σ = 5256360. Its totient is φ = 878592.

The previous prime is 2228549. The next prime is 2228573. The reversal of 2228560 is 658222.

It can be written as a sum of positive squares in 4 ways, for example, as 85264 + 2143296 = 292^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6964 + ... + 7276.

It is an arithmetic number, because the mean of its divisors is an integer number (131409).

2^2228560 is an apocalyptic number.

2228560 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 2228560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628180).

2228560 is an abundant number, since it is smaller than the sum of its proper divisors (3027800).

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

2228560 is a wasteful number, since it uses less digits than its factorization.

2228560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2228560 is about 1492.8362267844. The cubic root of 2228560 is about 130.6195280935.

It can be divided in two parts, 22 and 28560, that added together give a palindrome (28582).

The spelling of 2228560 in words is "two million, two hundred twenty-eight thousand, five hundred sixty".