2442349780992 has 784 divisors, whose sum is σ = 8462811392352. Its totient is φ = 696570347520.

The previous prime is 2442349780991. The next prime is 2442349781041. The reversal of 2442349780992 is 2990879432442.

2442349780992 is a `hidden beast` number, since 2 + 4 + 423 + 49 + 7 + 80 + 9 + 92 = 666.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442349780991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 143667634168 + ... + 143667634184.

Almost surely, 2^{2442349780992} is an apocalyptic number.

2442349780992 is a gapful number since it is divisible by the number (22) 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 2442349780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231405696176).

2442349780992 is an abundant number, since it is smaller than the sum of its proper divisors (6020461611360).

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

2442349780992 is an frugal number, since it uses more digits than its factorization.

2442349780992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 2442349780992 in words is "two trillion, four hundred forty-two billion, three hundred forty-nine million, seven hundred eighty thousand, nine hundred ninety-two".