24534540540 has 72 divisors (see below), whose sum is σ = 74440181088. Its totient is φ = 6540896640.

The previous prime is 24534540529. The next prime is 24534540617. The reversal of 24534540540 is 4504543542.

24534540540 is a `hidden beast` number, since 2 + 45 + 34 + 5 + 40 + 540 = 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 = 24534540495 and 24534540504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 810070 + ... + 839810.

It is an arithmetic number, because the mean of its divisors is an integer number (1033891404).

Almost surely, 2^24534540540 is an apocalyptic number.

24534540540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24534540540 is an abundant number, since it is smaller than the sum of its proper divisors (49905640548).

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

24534540540 is a wasteful number, since it uses less digits than its factorization.

24534540540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34339 (or 34334 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 24534540540 in words is "twenty-four billion, five hundred thirty-four million, five hundred forty thousand, five hundred forty".