20241864000 has 336 divisors, whose sum is σ = 74185400016. Its totient is φ = 5265408000.

The previous prime is 20241863969. The next prime is 20241864001. The reversal of 20241864000 is 46814202.

20241864000 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 18 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18076264704 + 2165599296 = 134448^2 + 46536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20241864001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2948572 + ... + 2955428.

It is an arithmetic number, because the mean of its divisors is an integer number (220789881).

Almost surely, 2^20241864000 is an apocalyptic number.

20241864000 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 20241864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37092700008).

20241864000 is an abundant number, since it is smaller than the sum of its proper divisors (53943536016).

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

20241864000 is a wasteful number, since it uses less digits than its factorization.

20241864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6931 (or 6908 counting only the distinct ones).

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

The spelling of 20241864000 in words is "twenty billion, two hundred forty-one million, eight hundred sixty-four thousand".