2282087987712 has 240 divisors, whose sum is σ = 7123912035240. Its totient is φ = 699110424576.

The previous prime is 2282087987701. The next prime is 2282087987719. The reversal of 2282087987712 is 2177897802822.

It can be written as a sum of positive squares in 4 ways, for example, as 2279906724096 + 2181263616 = 1509936^2 + 46704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2282087987712.

It is not an unprimeable number, because it can be changed into a prime (2282087987719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13634838 + ... + 13801194.

Almost surely, 2^{2282087987712} 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 2282087987712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561956017620).

2282087987712 is an abundant number, since it is smaller than the sum of its proper divisors (4841824047528).

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

2282087987712 is a wasteful number, since it uses less digits than its factorization.

2282087987712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166623 (or 166604 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 2282087987712 in words is "two trillion, two hundred eighty-two billion, eighty-seven million, nine hundred eighty-seven thousand, seven hundred twelve".