2282110560 has 144 divisors (see below), whose sum is σ = 7919992080. Its totient is φ = 598225920.

The previous prime is 2282110547. The next prime is 2282110573. The reversal of 2282110560 is 650112822.

It is a happy number.

2282110560 is a `hidden beast` number, since 22 + 82 + 1 + 1 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2282110547) and next prime (2282110573).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71530 + ... + 98390.

It is an arithmetic number, because the mean of its divisors is an integer number (54999945).

Almost surely, 2^2282110560 is an apocalyptic number.

2282110560 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 2282110560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959996040).

2282110560 is an abundant number, since it is smaller than the sum of its proper divisors (5637881520).

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

2282110560 is a wasteful number, since it uses less digits than its factorization.

2282110560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26941 (or 26930 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2282110560 is about 47771.4408407366. The cubic root of 2282110560 is about 1316.5748667148.

The spelling of 2282110560 in words is "two billion, two hundred eighty-two million, one hundred ten thousand, five hundred sixty".