2005223120010 has 48 divisors (see below), whose sum is σ = 5687541943200. Its totient is φ = 486114695520.

The previous prime is 2005223119987. The next prime is 2005223120011. The reversal of 2005223120010 is 100213225002.

2005223120010 is a `hidden beast` number, since 20 + 0 + 522 + 3 + 120 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×2005223120010² (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 not an unprimeable number, because it can be changed into a prime (2005223120011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012737960 + ... + 1012739939.

It is an arithmetic number, because the mean of its divisors is an integer number (118490457150).

Almost surely, 2^{2005223120010} is an apocalyptic number.

2005223120010 is an abundant number, since it is smaller than the sum of its proper divisors (3682318823190).

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

2005223120010 is a wasteful number, since it uses less digits than its factorization.

2005223120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025477923 (or 2025477920 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 2005223120010 its reverse (100213225002), we get a palindrome (2105436345012).

The spelling of 2005223120010 in words is "two trillion, five billion, two hundred twenty-three million, one hundred twenty thousand, ten".