24005134340 has 144 divisors (see below), whose sum is σ = 56432006400. Its totient is φ = 8569566720.

The previous prime is 24005134327. The next prime is 24005134367. The reversal of 24005134340 is 4343150042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58692056 + ... + 58692464.

Almost surely, 2^24005134340 is an apocalyptic number.

24005134340 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 24005134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28216003200).

24005134340 is an abundant number, since it is smaller than the sum of its proper divisors (32426872060).

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

24005134340 is a wasteful number, since it uses less digits than its factorization.

24005134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 24005134340 its reverse (4343150042), we get a palindrome (28348284382).

The spelling of 24005134340 in words is "twenty-four billion, five million, one hundred thirty-four thousand, three hundred forty".