2280333216 has 384 divisors, whose sum is σ = 7691894784. Its totient is φ = 576552960.

The previous prime is 2280333179. The next prime is 2280333221. The reversal of 2280333216 is 6123330822.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16644700 + ... + 16644836.

It is an arithmetic number, because the mean of its divisors is an integer number (20030976).

Almost surely, 2^2280333216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280333216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845947392).

2280333216 is an abundant number, since it is smaller than the sum of its proper divisors (5411561568).

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

2280333216 is a wasteful number, since it uses less digits than its factorization.

2280333216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2280333216 is about 47752.8346383751. The cubic root of 2280333216 is about 1316.2329881307.

The spelling of 2280333216 in words is "two billion, two hundred eighty million, three hundred thirty-three thousand, two hundred sixteen".