2224002400040 has 16 divisors (see below), whose sum is σ = 5004005400180. Its totient is φ = 889600960000.

The previous prime is 2224002400031. The next prime is 2224002400051. The reversal of 2224002400040 is 400042004222.

It can be written as a sum of positive squares in 2 ways, for example, as 2194445225956 + 29557174084 = 1481366^2 + 171922^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2224002399985 and 2224002400021.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27800029961 + ... + 27800030040.

Almost surely, 2^{2224002400040} is an apocalyptic number.

2224002400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224002400040 is an abundant number, since it is smaller than the sum of its proper divisors (2780003000140).

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

2224002400040 is a wasteful number, since it uses less digits than its factorization.

2224002400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55600060012 (or 55600060008 counting only the distinct ones).

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

Adding to 2224002400040 its reverse (400042004222), we get a palindrome (2624044404262).

The spelling of 2224002400040 in words is "two trillion, two hundred twenty-four billion, two million, four hundred thousand, forty".