2444286824442 has 96 divisors (see below), whose sum is σ = 5584669352640. Its totient is φ = 792436530240.

The previous prime is 2444286824423. The next prime is 2444286824489.

2444286824442 is a `hidden beast` number, since 2 + 4 + 4 + 42 + 86 + 82 + 4 + 442 = 666.

2444286824442 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2444286824442² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268864317 + ... + 268873407.

It is an arithmetic number, because the mean of its divisors is an integer number (58173639090).

Almost surely, 2^{2444286824442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2444286824442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792334676320).

2444286824442 is an abundant number, since it is smaller than the sum of its proper divisors (3140382528198).

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

2444286824442 is a wasteful number, since it uses less digits than its factorization.

2444286824442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12813 (or 12770 counting only the distinct ones).

The product of its digits is 25165824, while the sum is 54.

The spelling of 2444286824442 in words is "two trillion, four hundred forty-four billion, two hundred eighty-six million, eight hundred twenty-four thousand, four hundred forty-two".