20241024000 has 176 divisors, whose sum is σ = 67330513536. Its totient is φ = 5397504000.

The previous prime is 20241023987. The next prime is 20241024031. The reversal of 20241024000 is 42014202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 357645 + ... + 410355.

It is an arithmetic number, because the mean of its divisors is an integer number (382559736).

Almost surely, 2^20241024000 is an apocalyptic number.

20241024000 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 20241024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33665256768).

20241024000 is an abundant number, since it is smaller than the sum of its proper divisors (47089489536).

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

20241024000 is an equidigital number, since it uses as much as digits as its factorization.

20241024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52749 (or 52721 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20241024000 its reverse (42014202), we get a palindrome (20283038202).

The spelling of 20241024000 in words is "twenty billion, two hundred forty-one million, twenty-four thousand".