24280000680 has 128 divisors (see below), whose sum is σ = 78658675200. Its totient is φ = 5960189952.

The previous prime is 24280000663. The next prime is 24280000741. The reversal of 24280000680 is 8600008242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551316 + ... + 593724.

It is an arithmetic number, because the mean of its divisors is an integer number (614520900).

Almost surely, 2^24280000680 is an apocalyptic number.

24280000680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

24280000680 is the 127227-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24280000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39329337600).

24280000680 is an abundant number, since it is smaller than the sum of its proper divisors (54378674520).

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

24280000680 is a wasteful number, since it uses less digits than its factorization.

24280000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42803 (or 42799 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 24280000680 in words is "twenty-four billion, two hundred eighty million, six hundred eighty", and thus it is an aban number.