2442404944800 has 288 divisors, whose sum is σ = 8939797191360. Its totient is φ = 643460428800.

The previous prime is 2442404944799. The next prime is 2442404944817. The reversal of 2442404944800 is 84494042442.

2442404944800 is a `hidden beast` number, since 2 + 4 + 42 + 40 + 4 + 94 + 480 + 0 = 666.

2442404944800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111630 + ... + 2473970.

It is an arithmetic number, because the mean of its divisors is an integer number (31040962470).

Almost surely, 2^{2442404944800} is an apocalyptic number.

2442404944800 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 2442404944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469898595680).

2442404944800 is an abundant number, since it is smaller than the sum of its proper divisors (6497392246560).

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

2442404944800 is a wasteful number, since it uses less digits than its factorization.

2442404944800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362453 (or 1362434 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 2442404944800 in words is "two trillion, four hundred forty-two billion, four hundred four million, nine hundred forty-four thousand, eight hundred".