2286552240 has 320 divisors, whose sum is σ = 9117035520. Its totient is φ = 522360576.

The previous prime is 2286552227. The next prime is 2286552259. The reversal of 2286552240 is 422556822.

2286552240 is a `hidden beast` number, since 2 + 2 + 86 + 552 + 24 + 0 = 666.

It is a super-2 number, since 2×2286552240² = 10456642292498035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2286552195 and 2286552204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1223787 + ... + 1225653.

It is an arithmetic number, because the mean of its divisors is an integer number (28490736).

Almost surely, 2^2286552240 is an apocalyptic number.

2286552240 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 2286552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558517760).

2286552240 is an abundant number, since it is smaller than the sum of its proper divisors (6830483280).

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

2286552240 is an equidigital number, since it uses as much as digits as its factorization.

2286552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2286552240 is about 47817.9071060204. The cubic root of 2286552240 is about 1317.4284646350.

The spelling of 2286552240 in words is "two billion, two hundred eighty-six million, five hundred fifty-two thousand, two hundred forty".