2282839200 has 216 divisors, whose sum is σ = 8348715648. Its totient is φ = 608705280.

The previous prime is 2282839199. The next prime is 2282839213. The reversal of 2282839200 is 29382822.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×2282839200² = 10422709626113280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188529 + ... + 200271.

Almost surely, 2^2282839200 is an apocalyptic number.

2282839200 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 2282839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174357824).

2282839200 is an abundant number, since it is smaller than the sum of its proper divisors (6065876448).

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

2282839200 is a wasteful number, since it uses less digits than its factorization.

2282839200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11778 (or 11753 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2282839200 is about 47779.0665459257. The cubic root of 2282839200 is about 1316.7149719677.

The spelling of 2282839200 in words is "two billion, two hundred eighty-two million, eight hundred thirty-nine thousand, two hundred".