2448082808442 has 16 divisors (see below), whose sum is σ = 5440184018880. Its totient is φ = 816027602796.

The previous prime is 2448082808407. The next prime is 2448082808453.

2448082808442 is a `hidden beast` number, since 2 + 4 + 48 + 0 + 82 + 80 + 8 + 442 = 666.

2448082808442 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 45334866823 = 2448082808442 / (2 + 4 + 4 + 8 + 0 + 8 + 2 + 8 + 0 + 8 + 4 + 4 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22667433358 + ... + 22667433465.

It is an arithmetic number, because the mean of its divisors is an integer number (340011501180).

Almost surely, 2^{2448082808442} is an apocalyptic number.

2448082808442 is an abundant number, since it is smaller than the sum of its proper divisors (2992101210438).

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

2448082808442 is a wasteful number, since it uses less digits than its factorization.

2448082808442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45334866834 (or 45334866828 counting only the distinct ones).

The product of its (nonzero) digits is 8388608, while the sum is 54.

The spelling of 2448082808442 in words is "two trillion, four hundred forty-eight billion, eighty-two million, eight hundred eight thousand, four hundred forty-two".