2226656418 has 64 divisors (see below), whose sum is σ = 5173217280. Its totient is φ = 625766400.

The previous prime is 2226656407. The next prime is 2226656431. The reversal of 2226656418 is 8146566222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2226656418.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2292673 + ... + 2293643.

It is an arithmetic number, because the mean of its divisors is an integer number (80831520).

Almost surely, 2^2226656418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226656418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586608640).

2226656418 is an abundant number, since it is smaller than the sum of its proper divisors (2946560862).

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

2226656418 is a wasteful number, since it uses less digits than its factorization.

2226656418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823.

The product of its digits is 276480, while the sum is 42.

The square root of 2226656418 is about 47187.4603893873. The cubic root of 2226656418 is about 1305.8232681983.

The spelling of 2226656418 in words is "two billion, two hundred twenty-six million, six hundred fifty-six thousand, four hundred eighteen".