2282256000 has 384 divisors, whose sum is σ = 8514192960. Its totient is φ = 607564800.

The previous prime is 2282255999. The next prime is 2282256017. The reversal of 2282256000 is 6522822.

2282256000 is a `hidden beast` number, since 22 + 82 + 2 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3887707 + ... + 3888293.

Almost surely, 2^2282256000 is an apocalyptic number.

2282256000 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 2282256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257096480).

2282256000 is an abundant number, since it is smaller than the sum of its proper divisors (6231936960).

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

2282256000 is an frugal number, since it uses more digits than its factorization.

2282256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2282256000 is about 47772.9630648969. The cubic root of 2282256000 is about 1316.6028347698.

Adding to 2282256000 its reverse (6522822), we get a palindrome (2288778822).

The spelling of 2282256000 in words is "two billion, two hundred eighty-two million, two hundred fifty-six thousand".