2242892288 has 270 divisors, whose sum is σ = 5901014889. Its totient is φ = 848719872.

The previous prime is 2242892279. The next prime is 2242892303. The reversal of 2242892288 is 8822982422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1917739264 + 325153024 = 43792^2 + 18032^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33488.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 97517045 + ... + 97517067.

Almost surely, 2^2242892288 is an apocalyptic number.

2242892288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242892288

2242892288 is an abundant number, since it is smaller than the sum of its proper divisors (3658122601).

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

2242892288 is an equidigital number, since it uses as much as digits as its factorization.

2242892288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 45 counting only the distinct ones).

The product of its digits is 589824, while the sum is 47.

The square root of 2242892288 is about 47359.1837767502. The cubic root of 2242892288 is about 1308.9894286467.

The spelling of 2242892288 in words is "two billion, two hundred forty-two million, eight hundred ninety-two thousand, two hundred eighty-eight".