20242024000 has 448 divisors, whose sum is σ = 58268201472. Its totient is φ = 6893568000.

The previous prime is 20242023943. The next prime is 20242024001. The reversal of 20242024000 is 42024202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20242024001) 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 63 ways as a sum of consecutive naturals, for example, 147751932 + ... + 147752068.

Almost surely, 2^20242024000 is an apocalyptic number.

20242024000 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 20242024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29134100736).

20242024000 is an abundant number, since it is smaller than the sum of its proper divisors (38026177472).

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

20242024000 is a wasteful number, since it uses less digits than its factorization.

20242024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20242024000 its reverse (42024202), we get a palindrome (20284048202).

It can be divided in two parts, 2024202 and 4000, that added together give a palindrome (2028202).

The spelling of 20242024000 in words is "twenty billion, two hundred forty-two million, twenty-four thousand".