2424134442320 has 160 divisors (see below), whose sum is σ = 6075553996800. Its totient is φ = 896614783488.

The previous prime is 2424134442313. The next prime is 2424134442343. The reversal of 2424134442320 is 232444314242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26172251 + ... + 26264709.

It is an arithmetic number, because the mean of its divisors is an integer number (37972212480).

Almost surely, 2^{2424134442320} is an apocalyptic number.

2424134442320 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 2424134442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037776998400).

2424134442320 is an abundant number, since it is smaller than the sum of its proper divisors (3651419554480).

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

2424134442320 is a wasteful number, since it uses less digits than its factorization.

2424134442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92905 (or 92899 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 2424134442320 its reverse (232444314242), we get a palindrome (2656578756562).

The spelling of 2424134442320 in words is "two trillion, four hundred twenty-four billion, one hundred thirty-four million, four hundred forty-two thousand, three hundred twenty".