2442401521340 has 144 divisors (see below), whose sum is σ = 5771209862880. Its totient is φ = 867131865600.

The previous prime is 2442401521327. The next prime is 2442401521361. The reversal of 2442401521340 is 431251042442.

It is a junction number, because it is equal to n+sod(n) for n = 2442401521297 and 2442401521306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460046606 + ... + 460051914.

It is an arithmetic number, because the mean of its divisors is an integer number (40077846270).

Almost surely, 2^{2442401521340} is an apocalyptic number.

2442401521340 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 2442401521340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885604931440).

2442401521340 is an abundant number, since it is smaller than the sum of its proper divisors (3328808341540).

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

2442401521340 is a wasteful number, since it uses less digits than its factorization.

2442401521340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9804 (or 9791 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 2442401521340 its reverse (431251042442), we get a palindrome (2873652563782).

The spelling of 2442401521340 in words is "two trillion, four hundred forty-two billion, four hundred one million, five hundred twenty-one thousand, three hundred forty".