2289960960 has 384 divisors, whose sum is σ = 8755568640. Its totient is φ = 499580928.

The previous prime is 2289960949. The next prime is 2289960973. The reversal of 2289960960 is 690699822.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4945689 + ... + 4946151.

It is an arithmetic number, because the mean of its divisors is an integer number (22800960).

Almost surely, 2^2289960960 is an apocalyptic number.

2289960960 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 2289960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377784320).

2289960960 is an abundant number, since it is smaller than the sum of its proper divisors (6465607680).

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

2289960960 is a wasteful number, since it uses less digits than its factorization.

2289960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 2289960960 is about 47853.5365464247. The cubic root of 2289960960 is about 1318.0827998637.

The spelling of 2289960960 in words is "two billion, two hundred eighty-nine million, nine hundred sixty thousand, nine hundred sixty".