2224000404200 has 96 divisors (see below), whose sum is σ = 5185538919000. Its totient is φ = 887066419200.

The previous prime is 2224000404193. The next prime is 2224000404211. The reversal of 2224000404200 is 24040004222.

It can be written as a sum of positive squares in 12 ways, for example, as 1225683695236 + 998316708964 = 1107106^2 + 999158^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307646186 + ... + 307653414.

Almost surely, 2^{2224000404200} is an apocalyptic number.

2224000404200 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 2224000404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592769459500).

2224000404200 is an abundant number, since it is smaller than the sum of its proper divisors (2961538514800).

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

2224000404200 is a wasteful number, since it uses less digits than its factorization.

2224000404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11415 (or 11406 counting only the distinct ones).

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

Adding to 2224000404200 its reverse (24040004222), we get a palindrome (2248040408422).

The spelling of 2224000404200 in words is "two trillion, two hundred twenty-four billion, four hundred four thousand, two hundred".