2282005585288 has 64 divisors (see below), whose sum is σ = 5322489419520. Its totient is φ = 901162214400.

The previous prime is 2282005585283. The next prime is 2282005585313. The reversal of 2282005585288 is 8825855002822.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2282005585283) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 58649968 + ... + 58688863.

It is an arithmetic number, because the mean of its divisors is an integer number (83163897180).

Almost surely, 2^{2282005585288} is an apocalyptic number.

It is an amenable number.

2282005585288 is an abundant number, since it is smaller than the sum of its proper divisors (3040483834232).

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

2282005585288 is a wasteful number, since it uses less digits than its factorization.

2282005585288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117338878 (or 117338874 counting only the distinct ones).

The product of its (nonzero) digits is 8192000, while the sum is 55.

The spelling of 2282005585288 in words is "two trillion, two hundred eighty-two billion, five million, five hundred eighty-five thousand, two hundred eighty-eight".