2282784768 has 336 divisors, whose sum is σ = 7519402800. Its totient is φ = 686776320.

The previous prime is 2282784739. The next prime is 2282784809. The reversal of 2282784768 is 8674872822.

2282784768 is a `hidden beast` number, since 22 + 82 + 78 + 476 + 8 = 666.

It is a super-2 number, since 2×2282784768² = 10422212594025627648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16422843 + ... + 16422981.

It is an arithmetic number, because the mean of its divisors is an integer number (22379175).

Almost surely, 2^2282784768 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 2282784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759701400).

2282784768 is an abundant number, since it is smaller than the sum of its proper divisors (5236618032).

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

2282784768 is an equidigital number, since it uses as much as digits as its factorization.

2282784768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 155 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 2282784768 is about 47778.4969206860. The cubic root of 2282784768 is about 1316.7045066374.

The spelling of 2282784768 in words is "two billion, two hundred eighty-two million, seven hundred eighty-four thousand, seven hundred sixty-eight".