2287456668 has 144 divisors (see below), whose sum is σ = 6775292160. Its totient is φ = 637224192.

The previous prime is 2287456667. The next prime is 2287456673. The reversal of 2287456668 is 8666547822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2287456663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2036355 + ... + 2037477.

It is an arithmetic number, because the mean of its divisors is an integer number (47050640).

Almost surely, 2^2287456668 is an apocalyptic number.

2287456668 is a gapful number since it is divisible by the number (28) 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 2287456668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387646080).

2287456668 is an abundant number, since it is smaller than the sum of its proper divisors (4487835492).

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

2287456668 is a wasteful number, since it uses less digits than its factorization.

2287456668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1331 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 2287456668 is about 47827.3631721424. The cubic root of 2287456668 is about 1317.6021412745.

The spelling of 2287456668 in words is "two billion, two hundred eighty-seven million, four hundred fifty-six thousand, six hundred sixty-eight".