2282763600 has 480 divisors, whose sum is σ = 8911929600. Its totient is φ = 551577600.

The previous prime is 2282763557. The next prime is 2282763629. The reversal of 2282763600 is 63672822.

2282763600 is a `hidden beast` number, since 2 + 28 + 27 + 6 + 3 + 600 = 666.

It is a super-2 number, since 2×2282763600² = 10422019306969920000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9968286 + ... + 9968514.

It is an arithmetic number, because the mean of its divisors is an integer number (18566520).

Almost surely, 2^2282763600 is an apocalyptic number.

2282763600 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 2282763600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455964800).

2282763600 is an abundant number, since it is smaller than the sum of its proper divisors (6629166000).

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

2282763600 is a wasteful number, since it uses less digits than its factorization.

2282763600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2282763600 is about 47778.2753979254. The cubic root of 2282763600 is about 1316.7004367418.

The spelling of 2282763600 in words is "two billion, two hundred eighty-two million, seven hundred sixty-three thousand, six hundred".