24000100020 has 72 divisors (see below), whose sum is σ = 78400334376. Its totient is φ = 5907716352.

The previous prime is 24000100001. The next prime is 24000100027. The reversal of 24000100020 is 2000100042.

It can be written as a sum of positive squares in 4 ways, for example, as 669981456 + 23330118564 = 25884^2 + 152742^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 24000099975 and 24000100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24000100027) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5125887 + ... + 5130566.

It is an arithmetic number, because the mean of its divisors is an integer number (1088893533).

Almost surely, 2^24000100020 is an apocalyptic number.

24000100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24000100020 is an abundant number, since it is smaller than the sum of its proper divisors (54400234356).

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

24000100020 is a wasteful number, since it uses less digits than its factorization.

24000100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256481 (or 10256476 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 24000100020 its reverse (2000100042), we get a palindrome (26000200062).

The spelling of 24000100020 in words is "twenty-four billion, one hundred thousand, twenty".