2424020004200 has 24 divisors (see below), whose sum is σ = 5635846510230. Its totient is φ = 969608001600.

The previous prime is 2424020004193. The next prime is 2424020004209. The reversal of 2424020004200 is 24000204242.

2424020004200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1495097998564 + 928922005636 = 1222742^2 + 963806^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2424020004209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6060049811 + ... + 6060050210.

Almost surely, 2^{2424020004200} is an apocalyptic number.

2424020004200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424020004200 is an abundant number, since it is smaller than the sum of its proper divisors (3211826506030).

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

2424020004200 is a wasteful number, since it uses less digits than its factorization.

2424020004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12120100037 (or 12120100028 counting only the distinct ones).

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

Adding to 2424020004200 its reverse (24000204242), we get a palindrome (2448020208442).

The spelling of 2424020004200 in words is "two trillion, four hundred twenty-four billion, twenty million, four thousand, two hundred".