2827222272 has 288 divisors, whose sum is σ = 9701314560. Its totient is φ = 795432960.

The previous prime is 2827222259. The next prime is 2827222273. The reversal of 2827222272 is 2722227282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (2827222273) 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 31 ways as a sum of consecutive naturals, for example, 3434853 + ... + 3435675.

It is an arithmetic number, because the mean of its divisors is an integer number (33685120).

Almost surely, 2^2827222272 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 2827222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850657280).

2827222272 is an abundant number, since it is smaller than the sum of its proper divisors (6874092288).

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

2827222272 is an equidigital number, since it uses as much as digits as its factorization.

2827222272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 906 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 2827222272 is about 53171.6303304685. The cubic root of 2827222272 is about 1414.0127250618.

The spelling of 2827222272 in words is "two billion, eight hundred twenty-seven million, two hundred twenty-two thousand, two hundred seventy-two".