2442043791616 has 243 divisors, whose sum is σ = 5810337583617. Its totient is φ = 1023133562880.

The previous prime is 2442043791599. The next prime is 2442043791619. The reversal of 2442043791616 is 6161973402442.

The square root of 2442043791616 is 1562704.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 361249081600 + 2080794710016 = 601040^2 + 1442496^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2442043791616.

It is not an unprimeable number, because it can be changed into a prime (2442043791619) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3575466411 + ... + 3575467093.

Almost surely, 2^{2442043791616} is an apocalyptic number.

2442043791616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2442043791616 is the 1562704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442043791616

2442043791616 is an abundant number, since it is smaller than the sum of its proper divisors (3368293792001).

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

2442043791616 is an frugal number, since it uses more digits than its factorization.

2442043791616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 2442043791616 by its sum of digits (49), we get a square (119660145789184 = 10938928²).

The spelling of 2442043791616 in words is "two trillion, four hundred forty-two billion, forty-three million, seven hundred ninety-one thousand, six hundred sixteen".