24142240080 has 320 divisors, whose sum is σ = 95983142400. Its totient is φ = 5463244800.

The previous prime is 24142240063. The next prime is 24142240097. The reversal of 24142240080 is 8004224142.

24142240080 is a `hidden beast` number, since 2 + 414 + 2 + 240 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (24142240063) and next prime (24142240097).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1519216 + ... + 1535024.

It is an arithmetic number, because the mean of its divisors is an integer number (299947320).

Almost surely, 2^24142240080 is an apocalyptic number.

24142240080 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 24142240080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47991571200).

24142240080 is an abundant number, since it is smaller than the sum of its proper divisors (71840902320).

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

24142240080 is a wasteful number, since it uses less digits than its factorization.

24142240080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15939 (or 15927 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 24142240080 in words is "twenty-four billion, one hundred forty-two million, two hundred forty thousand, eighty".