2444001244542 has 192 divisors, whose sum is σ = 6252136450560. Its totient is φ = 680233593600.

The previous prime is 2444001244499. The next prime is 2444001244577. The reversal of 2444001244542 is 2454421004442.

2444001244542 is a `hidden beast` number, since 2 + 4 + 4 + 400 + 1 + 244 + 5 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2444001244497 and 2444001244506.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 522331759 + ... + 522336437.

It is an arithmetic number, because the mean of its divisors is an integer number (32563210680).

Almost surely, 2^{2444001244542} is an apocalyptic number.

2444001244542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2444001244542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126068225280).

2444001244542 is an abundant number, since it is smaller than the sum of its proper divisors (3808135206018).

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

2444001244542 is a wasteful number, since it uses less digits than its factorization.

2444001244542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5679 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 36.

Adding to 2444001244542 its reverse (2454421004442), we get a palindrome (4898422248984).

The spelling of 2444001244542 in words is "two trillion, four hundred forty-four billion, one million, two hundred forty-four thousand, five hundred forty-two".