2400204400020 has 192 divisors, whose sum is σ = 8616916439040. Its totient is φ = 543291670656.

The previous prime is 2400204400001. The next prime is 2400204400117. The reversal of 2400204400020 is 200044020042.

2400204400020 is a `hidden beast` number, since 2 + 40 + 0 + 204 + 400 + 0 + 20 = 666.

2400204400020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2400204399966 and 2400204400002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2693062 + ... + 3471741.

It is an arithmetic number, because the mean of its divisors is an integer number (44879773120).

Almost surely, 2^{2400204400020} is an apocalyptic number.

2400204400020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400204400020 is an abundant number, since it is smaller than the sum of its proper divisors (6216712039020).

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

2400204400020 is a wasteful number, since it uses less digits than its factorization.

2400204400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6164931 (or 6164923 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2400204400020 its reverse (200044020042), we get a palindrome (2600248420062).

The spelling of 2400204400020 in words is "two trillion, four hundred billion, two hundred four million, four hundred thousand, twenty".