2424234224340 has 144 divisors (see below), whose sum is σ = 7432600331520. Its totient is φ = 639526391040.

The previous prime is 2424234224333. The next prime is 2424234224381. The reversal of 2424234224340 is 434224324242.

2424234224340 is a `hidden beast` number, since 2 + 4 + 2 + 423 + 4 + 224 + 3 + 4 + 0 = 666.

It is a super-2 number, since 2×2424234224340² (a number of 26 digits) contains 22 as substring.

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 = 2424234224295 and 2424234224304.

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, 13760410 + ... + 13935470.

It is an arithmetic number, because the mean of its divisors is an integer number (51615280080).

Almost surely, 2^{2424234224340} is an apocalyptic number.

2424234224340 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 2424234224340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716300165760).

2424234224340 is an abundant number, since it is smaller than the sum of its proper divisors (5008366107180).

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

2424234224340 is a wasteful number, since it uses less digits than its factorization.

2424234224340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175902 (or 175897 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 2424234224340 its reverse (434224324242), we get a palindrome (2858458548582).

The spelling of 2424234224340 in words is "two trillion, four hundred twenty-four billion, two hundred thirty-four million, two hundred twenty-four thousand, three hundred forty".