2242424411424 has 36 divisors (see below), whose sum is σ = 6376894420806. Its totient is φ = 747474803712.

The previous prime is 2242424411413. The next prime is 2242424411533. The reversal of 2242424411424 is 4241144242422.

2242424411424 is a `hidden beast` number, since 224 + 2 + 4 + 2 + 4 + 4 + 1 + 1 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1233725575824 + 1008698835600 = 1110732^2 + 1004340^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3893097649 + ... + 3893098224.

Almost surely, 2^{2242424411424} is an apocalyptic number.

2242424411424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2242424411424 is an abundant number, since it is smaller than the sum of its proper divisors (4134470009382).

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

2242424411424 is a wasteful number, since it uses less digits than its factorization.

2242424411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7786195889 (or 7786195878 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

Adding to 2242424411424 its reverse (4241144242422), we get a palindrome (6483568653846).

The spelling of 2242424411424 in words is "two trillion, two hundred forty-two billion, four hundred twenty-four million, four hundred eleven thousand, four hundred twenty-four".