24245000239680 has 448 divisors, whose sum is σ = 93321175368960. Its totient is φ = 5876652441600.

The previous prime is 24245000239661. The next prime is 24245000239697. The reversal of 24245000239680 is 8693200054242.

24245000239680 is a `hidden beast` number, since 2 + 42 + 4 + 500 + 0 + 23 + 9 + 6 + 80 = 666.

It is a super-3 number, since 3×24245000239680³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 754316410 + ... + 754348550.

It is an arithmetic number, because the mean of its divisors is an integer number (208306195020).

Almost surely, 2^{24245000239680} is an apocalyptic number.

24245000239680 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 24245000239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46660587684480).

24245000239680 is an abundant number, since it is smaller than the sum of its proper divisors (69076175129280).

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

24245000239680 is a wasteful number, since it uses less digits than its factorization.

24245000239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40115 (or 40099 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 24245000239680 in words is "twenty-four trillion, two hundred forty-five billion, two hundred thirty-nine thousand, six hundred eighty".