2004402420000 has 810 divisors, whose sum is σ = 7381460285199. Its totient is φ = 515766720000.

The previous prime is 2004402419977. The next prime is 2004402420017. The reversal of 2004402420000 is 242044002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2004402420000 is a `hidden beast` number, since 2 + 0 + 0 + 440 + 24 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 463417839504 + 1540984580496 = 680748^2 + 1241364^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1001100.

It is a super-2 number, since 2×2004402420000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 28231019965 + ... + 28231020035.

Almost surely, 2^{2004402420000} is an apocalyptic number.

2004402420000 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 2004402420000

2004402420000 is an abundant number, since it is smaller than the sum of its proper divisors (5377057865199).

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

2004402420000 is an frugal number, since it uses more digits than its factorization.

2004402420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 128 counting only the distinct ones).

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

Multiplying 2004402420000 by its sum of digits (18), we get a square (36079243560000 = 6006600²).

2004402420000 divided by its sum of digits (18) gives a square (111355690000 = 333700²).

Adding to 2004402420000 its reverse (242044002), we get a palindrome (2004644464002).

The spelling of 2004402420000 in words is "two trillion, four billion, four hundred two million, four hundred twenty thousand".