24213012480 has 600 divisors, whose sum is σ = 89921822760. Its totient is φ = 6228541440.

The previous prime is 24213012469. The next prime is 24213012503. The reversal of 24213012480 is 8421031242.

24213012480 is a `hidden beast` number, since 2 + 42 + 130 + 12 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 383533056 + 23829479424 = 19584^2 + 154368^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 272056276 + ... + 272056364.

Almost surely, 2^24213012480 is an apocalyptic number.

24213012480 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 24213012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44960911380).

24213012480 is an abundant number, since it is smaller than the sum of its proper divisors (65708810280).

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

24213012480 is an frugal number, since it uses more digits than its factorization.

24213012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 24213012480 in words is "twenty-four billion, two hundred thirteen million, twelve thousand, four hundred eighty".