2286468576 has 432 divisors, whose sum is σ = 8089230240. Its totient is φ = 609638400.

The previous prime is 2286468559. The next prime is 2286468631. The reversal of 2286468576 is 6758646822.

2286468576 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 4 + 68 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 15142101 + ... + 15142251.

It is an arithmetic number, because the mean of its divisors is an integer number (18725070).

Almost surely, 2^2286468576 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 2286468576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044615120).

2286468576 is an abundant number, since it is smaller than the sum of its proper divisors (5802761664).

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

2286468576 is a wasteful number, since it uses less digits than its factorization.

2286468576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 229 counting only the distinct ones).

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

The square root of 2286468576 is about 47817.0322793040. The cubic root of 2286468576 is about 1317.4123963850.

The spelling of 2286468576 in words is "two billion, two hundred eighty-six million, four hundred sixty-eight thousand, five hundred seventy-six".