24225180000 has 240 divisors, whose sum is σ = 90816929280. Its totient is φ = 5537088000.

The previous prime is 24225179999. The next prime is 24225180011. The reversal of 24225180000 is 8152242.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 391161 + ... + 448839.

It is an arithmetic number, because the mean of its divisors is an integer number (378403872).

Almost surely, 2^24225180000 is an apocalyptic number.

24225180000 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 24225180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45408464640).

24225180000 is an abundant number, since it is smaller than the sum of its proper divisors (66591749280).

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

24225180000 is an equidigital number, since it uses as much as digits as its factorization.

24225180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57719 (or 57696 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 24225180000 in words is "twenty-four billion, two hundred twenty-five million, one hundred eighty thousand".