2284116560 has 320 divisors, whose sum is σ = 6412089600. Its totient is φ = 748339200.

The previous prime is 2284116557. The next prime is 2284116563. The reversal of 2284116560 is 656114822.

It is an interprime number because it is at equal distance from previous prime (2284116557) and next prime (2284116563).

It is a self number, because there is not a number n which added to its sum of digits gives 2284116560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284116563) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 38713811 + ... + 38713869.

It is an arithmetic number, because the mean of its divisors is an integer number (20037780).

Almost surely, 2^2284116560 is an apocalyptic number.

2284116560 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 2284116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206044800).

2284116560 is an abundant number, since it is smaller than the sum of its proper divisors (4127973040).

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

2284116560 is a wasteful number, since it uses less digits than its factorization.

2284116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 2284116560 is about 47792.4320368822. The cubic root of 2284116560 is about 1316.9605149490.

The spelling of 2284116560 in words is "two billion, two hundred eighty-four million, one hundred sixteen thousand, five hundred sixty".