2240004220224 has 28 divisors (see below), whose sum is σ = 5926677833184. Its totient is φ = 746668073344.

The previous prime is 2240004220189. The next prime is 2240004220241. The reversal of 2240004220224 is 4220224000422.

It is a super-2 number, since 2×2240004220224² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2240004220194 and 2240004220203.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 5833344132 + ... + 5833344515.

Almost surely, 2^{2240004220224} is an apocalyptic number.

2240004220224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2240004220224 is an abundant number, since it is smaller than the sum of its proper divisors (3686673612960).

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

2240004220224 is a wasteful number, since it uses less digits than its factorization.

2240004220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11666688662 (or 11666688652 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2240004220224 its reverse (4220224000422), we get a palindrome (6460228220646).

The spelling of 2240004220224 in words is "two trillion, two hundred forty billion, four million, two hundred twenty thousand, two hundred twenty-four".