2442836280800 has 144 divisors (see below), whose sum is σ = 6077985984000. Its totient is φ = 958526553600.

The previous prime is 2442836280767. The next prime is 2442836280839. The reversal of 2442836280800 is 80826382442.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11195141 + ... + 11411259.

It is an arithmetic number, because the mean of its divisors is an integer number (42208236000).

Almost surely, 2^{2442836280800} is an apocalyptic number.

2442836280800 is a gapful number since it is divisible by the number (20) 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 2442836280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038992992000).

2442836280800 is an abundant number, since it is smaller than the sum of its proper divisors (3635149703200).

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

2442836280800 is a wasteful number, since it uses less digits than its factorization.

2442836280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216409 (or 216396 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 47.

The spelling of 2442836280800 in words is "two trillion, four hundred forty-two billion, eight hundred thirty-six million, two hundred eighty thousand, eight hundred".