2286657216 has 336 divisors, whose sum is σ = 7445593440. Its totient is φ = 694241280.

The previous prime is 2286657211. The next prime is 2286657223. The reversal of 2286657216 is 6127566822.

2286657216 is a `hidden beast` number, since 2 + 2 + 8 + 66 + 572 + 16 = 666.

Its product of digits (483840) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (2286657211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 73763121 + ... + 73763151.

Almost surely, 2^2286657216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722796720).

2286657216 is an abundant number, since it is smaller than the sum of its proper divisors (5158936224).

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

2286657216 is an frugal number, since it uses more digits than its factorization.

2286657216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 53 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 2286657216 is about 47819.0047575229. The cubic root of 2286657216 is about 1317.4486254477.

The spelling of 2286657216 in words is "two billion, two hundred eighty-six million, six hundred fifty-seven thousand, two hundred sixteen".