2284816320 has 336 divisors, whose sum is σ = 8687165760. Its totient is φ = 548241408.

The previous prime is 2284816319. The next prime is 2284816321. The reversal of 2284816320 is 236184822.

It is an interprime number because it is at equal distance from previous prime (2284816319) and next prime (2284816321).

It is a super-2 number, since 2×2284816320² = 10440771232276684800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284816321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125066 + ... + 1127094.

It is an arithmetic number, because the mean of its divisors is an integer number (25854660).

Almost surely, 2^2284816320 is an apocalyptic number.

2284816320 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 2284816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343582880).

2284816320 is an abundant number, since it is smaller than the sum of its proper divisors (6402349440).

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

2284816320 is a wasteful number, since it uses less digits than its factorization.

2284816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2284816320 is about 47799.7523006134. The cubic root of 2284816320 is about 1317.0949888507.

The spelling of 2284816320 in words is "two billion, two hundred eighty-four million, eight hundred sixteen thousand, three hundred twenty".