2228136768 has 448 divisors, whose sum is σ = 7865303040. Its totient is φ = 609638400.

The previous prime is 2228136767. The next prime is 2228136803. The reversal of 2228136768 is 8676318222.

2228136768 is a `hidden beast` number, since 2 + 2 + 281 + 367 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228136763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17544321 + ... + 17544447.

It is an arithmetic number, because the mean of its divisors is an integer number (17556480).

Almost surely, 2^2228136768 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 2228136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932651520).

2228136768 is an abundant number, since it is smaller than the sum of its proper divisors (5637166272).

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

2228136768 is a wasteful number, since it uses less digits than its factorization.

2228136768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2228136768 is about 47203.1436241274. The cubic root of 2228136768 is about 1306.1125879797.

It can be divided in two parts, 22281 and 36768, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 2228136768 in words is "two billion, two hundred twenty-eight million, one hundred thirty-six thousand, seven hundred sixty-eight".