2282829248 has 84 divisors (see below), whose sum is σ = 5308503480. Its totient is φ = 971131392.

The previous prime is 2282829247. The next prime is 2282829299. The reversal of 2282829248 is 8429282822.

It is a super-2 number, since 2×2282829248² = 10422618751048491008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282829247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433286 + ... + 438522.

It is an arithmetic number, because the mean of its divisors is an integer number (63196470).

Almost surely, 2^2282829248 is an apocalyptic number.

2282829248 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 2282829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654251740).

2282829248 is an abundant number, since it is smaller than the sum of its proper divisors (3025674232).

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

2282829248 is a wasteful number, since it uses less digits than its factorization.

2282829248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5402 (or 5385 counting only the distinct ones).

The product of its digits is 589824, while the sum is 47.

The square root of 2282829248 is about 47778.9623997843. The cubic root of 2282829248 is about 1316.7130585659.

The spelling of 2282829248 in words is "two billion, two hundred eighty-two million, eight hundred twenty-nine thousand, two hundred forty-eight".