2283823360 has 216 divisors, whose sum is σ = 6855563736. Its totient is φ = 722534400.

The previous prime is 2283823349. The next prime is 2283823397. The reversal of 2283823360 is 633283822.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39337984 + 2244485376 = 6272^2 + 47376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813960 + ... + 816760.

It is an arithmetic number, because the mean of its divisors is an integer number (31738721).

Almost surely, 2^2283823360 is an apocalyptic number.

2283823360 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 2283823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427781868).

2283823360 is an abundant number, since it is smaller than the sum of its proper divisors (4571740376).

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

2283823360 is a wasteful number, since it uses less digits than its factorization.

2283823360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 2283823360 is about 47789.3645071788. The cubic root of 2283823360 is about 1316.9041621118.

The spelling of 2283823360 in words is "two billion, two hundred eighty-three million, eight hundred twenty-three thousand, three hundred sixty".