2289749280 has 768 divisors, whose sum is σ = 9754214400. Its totient is φ = 437944320.

The previous prime is 2289749279. The next prime is 2289749323. The reversal of 2289749280 is 829479822.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 25727476 + ... + 25727564.

It is an arithmetic number, because the mean of its divisors is an integer number (12700800).

Almost surely, 2^2289749280 is an apocalyptic number.

2289749280 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 2289749280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877107200).

2289749280 is an abundant number, since it is smaller than the sum of its proper divisors (7464465120).

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

2289749280 is a wasteful number, since it uses less digits than its factorization.

2289749280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 2289749280 is about 47851.3247465522. The cubic root of 2289749280 is about 1318.0421848533.

The spelling of 2289749280 in words is "two billion, two hundred eighty-nine million, seven hundred forty-nine thousand, two hundred eighty".