2282827200 has 168 divisors, whose sum is σ = 7884078720. Its totient is φ = 576691200.

The previous prime is 2282827193. The next prime is 2282827207. The reversal of 2282827200 is 27282822.

It is an interprime number because it is at equal distance from previous prime (2282827193) and next prime (2282827207).

It is a super-3 number, since 3×2282827200³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282827207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78685 + ... + 103715.

It is an arithmetic number, because the mean of its divisors is an integer number (46929040).

Almost surely, 2^2282827200 is an apocalyptic number.

2282827200 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 2282827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942039360).

2282827200 is an abundant number, since it is smaller than the sum of its proper divisors (5601251520).

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

2282827200 is a wasteful number, since it uses less digits than its factorization.

2282827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25075 (or 25060 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2282827200 is about 47778.9409677527. The cubic root of 2282827200 is about 1316.7126648104.

The spelling of 2282827200 in words is "two billion, two hundred eighty-two million, eight hundred twenty-seven thousand, two hundred".