2444224040200 has 24 divisors (see below), whose sum is σ = 5682820893930. Its totient is φ = 977689616000.

The previous prime is 2444224040191. The next prime is 2444224040231. The reversal of 2444224040200 is 20404224442.

It can be written as a sum of positive squares in 3 ways, for example, as 2154149160804 + 290074879396 = 1467702^2 + 538586^2 .

It is a super-2 number, since 2×2444224040200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6110559901 + ... + 6110560300.

Almost surely, 2^{2444224040200} is an apocalyptic number.

2444224040200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444224040200 is an abundant number, since it is smaller than the sum of its proper divisors (3238596853730).

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

2444224040200 is a wasteful number, since it uses less digits than its factorization.

2444224040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12221120217 (or 12221120208 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2444224040200 its reverse (20404224442), we get a palindrome (2464628264642).

The spelling of 2444224040200 in words is "two trillion, four hundred forty-four billion, two hundred twenty-four million, forty thousand, two hundred".