2282585913216 has 1536 divisors, whose sum is σ = 8602561843200. Its totient is φ = 592275898368.

The previous prime is 2282585913187. The next prime is 2282585913221. The reversal of 2282585913216 is 6123195852822.

2282585913216 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 5 + 8 + 591 + 32 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6773251800 + ... + 6773252136.

It is an arithmetic number, because the mean of its divisors is an integer number (5600626200).

Almost surely, 2^{2282585913216} 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 2282585913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301280921600).

2282585913216 is an abundant number, since it is smaller than the sum of its proper divisors (6319975929984).

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

2282585913216 is a wasteful number, since it uses less digits than its factorization.

2282585913216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 456 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 2282585913216 in words is "two trillion, two hundred eighty-two billion, five hundred eighty-five million, nine hundred thirteen thousand, two hundred sixteen".