2442402335340 has 288 divisors, whose sum is σ = 8204573063232. Its totient is φ = 583188480000.

The previous prime is 2442402335339. The next prime is 2442402335357. The reversal of 2442402335340 is 435332042442.

2442402335340 is a `hidden beast` number, since 2 + 4 + 4 + 240 + 23 + 353 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2442402335295 and 2442402335304.

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 95 ways as a sum of consecutive naturals, for example, 38564500 + ... + 38627780.

It is an arithmetic number, because the mean of its divisors is an integer number (28488100914).

Almost surely, 2^{2442402335340} is an apocalyptic number.

2442402335340 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 2442402335340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102286531616).

2442402335340 is an abundant number, since it is smaller than the sum of its proper divisors (5762170727892).

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

2442402335340 is a wasteful number, since it uses less digits than its factorization.

2442402335340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63601 (or 63596 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 36.

Adding to 2442402335340 its reverse (435332042442), we get a palindrome (2877734377782).

The spelling of 2442402335340 in words is "two trillion, four hundred forty-two billion, four hundred two million, three hundred thirty-five thousand, three hundred forty".