24240400200020 has 12 divisors (see below), whose sum is σ = 50904840420084. Its totient is φ = 9696160080000.

The previous prime is 24240400199959. The next prime is 24240400200041. The reversal of 24240400200020 is 2000200404242.

It can be written as a sum of positive squares in 2 ways, for example, as 4143936063556 + 20096464136464 = 2035666^2 + 4482908^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 1212020010001 = 24240400200020 / (2 + 4 + 2 + 4 + 0 + 4 + 0 + 0 + 2 + 0 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 24240400199965 and 24240400200001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 606010004981 + ... + 606010005020.

It is an arithmetic number, because the mean of its divisors is an integer number (4242070035007).

Almost surely, 2^{24240400200020} is an apocalyptic number.

24240400200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24240400200020 is an abundant number, since it is smaller than the sum of its proper divisors (26664440220064).

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

24240400200020 is a wasteful number, since it uses less digits than its factorization.

24240400200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212020010010 (or 1212020010008 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 24240400200020 its reverse (2000200404242), we get a palindrome (26240600604262).

The spelling of 24240400200020 in words is "twenty-four trillion, two hundred forty billion, four hundred million, two hundred thousand, twenty".