2226106566 has 48 divisors (see below), whose sum is σ = 5039274240. Its totient is φ = 708879600.

The previous prime is 2226106549. The next prime is 2226106567. The reversal of 2226106566 is 6656016222.

It is a self number, because there is not a number n which added to its sum of digits gives 2226106566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226106567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377541 + ... + 383391.

It is an arithmetic number, because the mean of its divisors is an integer number (104984880).

Almost surely, 2^2226106566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226106566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519637120).

2226106566 is an abundant number, since it is smaller than the sum of its proper divisors (2813167674).

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

2226106566 is a wasteful number, since it uses less digits than its factorization.

2226106566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6798 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2226106566 is about 47181.6337784100. The cubic root of 2226106566 is about 1305.7157723973.

The spelling of 2226106566 in words is "two billion, two hundred twenty-six million, one hundred six thousand, five hundred sixty-six".