2288441760 has 192 divisors, whose sum is σ = 7915138560. Its totient is φ = 551162880.

The previous prime is 2288441747. The next prime is 2288441803. The reversal of 2288441760 is 671448822.

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 31 ways as a sum of consecutive naturals, for example, 859311 + ... + 861969.

It is an arithmetic number, because the mean of its divisors is an integer number (41224680).

Almost surely, 2^2288441760 is an apocalyptic number.

2288441760 is a gapful number since it is divisible by the number (20) 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 2288441760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957569280).

2288441760 is an abundant number, since it is smaller than the sum of its proper divisors (5626696800).

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

2288441760 is a wasteful number, since it uses less digits than its factorization.

2288441760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 2288441760 is about 47837.6604779122. The cubic root of 2288441760 is about 1317.7912556841.

The spelling of 2288441760 in words is "two billion, two hundred eighty-eight million, four hundred forty-one thousand, seven hundred sixty".