24252241104 has 600 divisors, whose sum is σ = 91056125160. Its totient is φ = 6169540608.

The previous prime is 24252241037. The next prime is 24252241121. The reversal of 24252241104 is 40114225242.

It is a happy number.

24252241104 is a `hidden beast` number, since 2 + 425 + 224 + 1 + 10 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 622402704 + 23629838400 = 24948^2 + 153720^2 .

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23940502 + ... + 23941514.

Almost surely, 2^24252241104 is an apocalyptic number.

24252241104 is a gapful number since it is divisible by the number (24) 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 24252241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45528062580).

24252241104 is an abundant number, since it is smaller than the sum of its proper divisors (66803884056).

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

24252241104 is a wasteful number, since it uses less digits than its factorization.

24252241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 24252241104 its reverse (40114225242), we get a palindrome (64366466346).

It can be divided in two parts, 24252 and 241104, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 24252241104 in words is "twenty-four billion, two hundred fifty-two million, two hundred forty-one thousand, one hundred four".