2261844288 has 504 divisors, whose sum is σ = 7968227904. Its totient is φ = 609607680.

The previous prime is 2261844281. The next prime is 2261844293. The reversal of 2261844288 is 8824481622.

2261844288 is a `hidden beast` number, since 2 + 2 + 618 + 4 + 4 + 28 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261844281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27251095 + ... + 27251177.

It is an arithmetic number, because the mean of its divisors is an integer number (15809976).

Almost surely, 2^2261844288 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 2261844288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984113952).

2261844288 is an abundant number, since it is smaller than the sum of its proper divisors (5706383616).

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

2261844288 is a wasteful number, since it uses less digits than its factorization.

2261844288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 2261844288 is about 47558.8507851062. The cubic root of 2261844288 is about 1312.6659939172.

The spelling of 2261844288 in words is "two billion, two hundred sixty-one million, eight hundred forty-four thousand, two hundred eighty-eight".