2442317685756 has 144 divisors (see below), whose sum is σ = 6348528692352. Its totient is φ = 726430826880.

The previous prime is 2442317685739. The next prime is 2442317685761. The reversal of 2442317685756 is 6575867132442.

It is a self number, because there is not a number n which added to its sum of digits gives 2442317685756.

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 47 ways as a sum of consecutive naturals, for example, 141961851 + ... + 141979053.

It is an arithmetic number, because the mean of its divisors is an integer number (44087004808).

Almost surely, 2^{2442317685756} is an apocalyptic number.

2442317685756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442317685756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174264346176).

2442317685756 is an abundant number, since it is smaller than the sum of its proper divisors (3906211006596).

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

2442317685756 is a wasteful number, since it uses less digits than its factorization.

2442317685756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18232 (or 18199 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 60.

The spelling of 2442317685756 in words is "two trillion, four hundred forty-two billion, three hundred seventeen million, six hundred eighty-five thousand, seven hundred fifty-six".