24741480960 has 240 divisors, whose sum is σ = 97928303616. Its totient is φ = 5655158784.

The previous prime is 24741480947. The next prime is 24741481057. The reversal of 24741480960 is 6908414742.

24741480960 is a `hidden beast` number, since 2 + 47 + 41 + 480 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×24741480960² (a number of 22 digits) contains 22 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84577 + ... + 237983.

Almost surely, 2^24741480960 is an apocalyptic number.

24741480960 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 24741480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48964151808).

24741480960 is an abundant number, since it is smaller than the sum of its proper divisors (73186822656).

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

24741480960 is a wasteful number, since it uses less digits than its factorization.

24741480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153443 (or 153424 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 24741480960 in words is "twenty-four billion, seven hundred forty-one million, four hundred eighty thousand, nine hundred sixty".