24642540240500 has 576 divisors, whose sum is σ = 68585988377088. Its totient is φ = 7665467443200.

The previous prime is 24642540240499. The next prime is 24642540240511. The reversal of 24642540240500 is 504204524642.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4494350759 + ... + 4494356241.

It is an arithmetic number, because the mean of its divisors is an integer number (119072896488).

Almost surely, 2^{24642540240500} is an apocalyptic number.

24642540240500 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 24642540240500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292994188544).

24642540240500 is an abundant number, since it is smaller than the sum of its proper divisors (43943448136588).

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

24642540240500 is a wasteful number, since it uses less digits than its factorization.

24642540240500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5769 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 38.

The spelling of 24642540240500 in words is "twenty-four trillion, six hundred forty-two billion, five hundred forty million, two hundred forty thousand, five hundred".