2282587983360 has 800 divisors, whose sum is σ = 8309649835872. Its totient is φ = 598789324800.

The previous prime is 2282587983349. The next prime is 2282587983413. The reversal of 2282587983360 is 633897852822.

2282587983360 is a `hidden beast` number, since 2 + 2 + 82 + 58 + 79 + 83 + 360 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5692239160 + ... + 5692239560.

Almost surely, 2^{2282587983360} is an apocalyptic number.

2282587983360 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 2282587983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154824917936).

2282587983360 is an abundant number, since it is smaller than the sum of its proper divisors (6027061852512).

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

2282587983360 is an equidigital number, since it uses as much as digits as its factorization.

2282587983360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 2282587983360 in words is "two trillion, two hundred eighty-two billion, five hundred eighty-seven million, nine hundred eighty-three thousand, three hundred sixty".