2289116640 has 384 divisors, whose sum is σ = 7994972160. Its totient is φ = 548241408.

The previous prime is 2289116639. The next prime is 2289116671. The reversal of 2289116640 is 466119822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28976121 + ... + 28976199.

It is an arithmetic number, because the mean of its divisors is an integer number (20820240).

Almost surely, 2^2289116640 is an apocalyptic number.

2289116640 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 2289116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997486080).

2289116640 is an abundant number, since it is smaller than the sum of its proper divisors (5705855520).

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

2289116640 is a wasteful number, since it uses less digits than its factorization.

2289116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2289116640 is about 47844.7138145898. The cubic root of 2289116640 is about 1317.9207853881.

The spelling of 2289116640 in words is "two billion, two hundred eighty-nine million, one hundred sixteen thousand, six hundred forty".