24428580480 has 128 divisors (see below), whose sum is σ = 86517950400. Its totient is φ = 6514283520.

The previous prime is 24428580461. The next prime is 24428580481. The reversal of 24428580480 is 8408582442.

24428580480 is a `hidden beast` number, since 2 + 4 + 4 + 28 + 580 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (24428580481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689566 + ... + 724125.

Almost surely, 2^24428580480 is an apocalyptic number.

24428580480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24428580480 is an abundant number, since it is smaller than the sum of its proper divisors (62089369920).

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

24428580480 is a wasteful number, since it uses less digits than its factorization.

24428580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413719 (or 1413701 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 24428580480 in words is "twenty-four billion, four hundred twenty-eight million, five hundred eighty thousand, four hundred eighty".