2282128965312 has 112 divisors (see below), whose sum is σ = 6901151389440. Its totient is φ = 651996398592.

The previous prime is 2282128965301. The next prime is 2282128965373. The reversal of 2282128965312 is 2135698212822.

It is a happy number.

2282128965312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2282128965312² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26658514 + ... + 26743982.

It is an arithmetic number, because the mean of its divisors is an integer number (61617423120).

Almost surely, 2^{2282128965312} is an apocalyptic number.

It is an amenable number.

2282128965312 is an abundant number, since it is smaller than the sum of its proper divisors (4619022424128).

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

2282128965312 is a wasteful number, since it uses less digits than its factorization.

2282128965312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105358 (or 105348 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The spelling of 2282128965312 in words is "two trillion, two hundred eighty-two billion, one hundred twenty-eight million, nine hundred sixty-five thousand, three hundred twelve".