2428280282016 has 144 divisors (see below), whose sum is σ = 6937687411200. Its totient is φ = 805648080384.

The previous prime is 2428280281951. The next prime is 2428280282017. The reversal of 2428280282016 is 6102820828242.

2428280282016 is a `hidden beast` number, since 2 + 4 + 282 + 80 + 282 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2428280282017) 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 23 ways as a sum of consecutive naturals, for example, 164432265 + ... + 164447031.

It is an arithmetic number, because the mean of its divisors is an integer number (48178384800).

Almost surely, 2^{2428280282016} 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 2428280282016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468843705600).

2428280282016 is an abundant number, since it is smaller than the sum of its proper divisors (4509407129184).

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

2428280282016 is a wasteful number, since it uses less digits than its factorization.

2428280282016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17411 (or 17400 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 2428280282016 in words is "two trillion, four hundred twenty-eight billion, two hundred eighty million, two hundred eighty-two thousand, sixteen".