2283321600 has 486 divisors, whose sum is σ = 9507926610. Its totient is φ = 521256960.

The previous prime is 2283321587. The next prime is 2283321679. The reversal of 2283321600 is 61233822.

2283321600 is a `hidden beast` number, since 2 + 2 + 8 + 33 + 21 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 462422016 + 1820899584 = 21504^2 + 42672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2821996 + ... + 2822804.

It is an arithmetic number, because the mean of its divisors is an integer number (19563635).

Almost surely, 2^2283321600 is an apocalyptic number.

2283321600 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 2283321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753963305).

2283321600 is an abundant number, since it is smaller than the sum of its proper divisors (7224605010).

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

2283321600 is a wasteful number, since it uses less digits than its factorization.

2283321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2283321600 is about 47784.1145151817. The cubic root of 2283321600 is about 1316.8077129963.

The spelling of 2283321600 in words is "two billion, two hundred eighty-three million, three hundred twenty-one thousand, six hundred".