2404142224 has 60 divisors (see below), whose sum is σ = 5296653180. Its totient is φ = 1055084800.

The previous prime is 2404142203. The next prime is 2404142239. The reversal of 2404142224 is 4222414042.

It can be written as a sum of positive squares in 2 ways, for example, as 575040400 + 1829101824 = 23980^2 + 42768^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34734 + ... + 77554.

It is an arithmetic number, because the mean of its divisors is an integer number (88277553).

Almost surely, 2^2404142224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648326590).

2404142224 is an abundant number, since it is smaller than the sum of its proper divisors (2892510956).

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

2404142224 is a wasteful number, since it uses less digits than its factorization.

2404142224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42880 (or 42863 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 2404142224 is about 49032.0530265662. The cubic root of 2404142224 is about 1339.6357189039.

Adding to 2404142224 its reverse (4222414042), we get a palindrome (6626556266).

The spelling of 2404142224 in words is "two billion, four hundred four million, one hundred forty-two thousand, two hundred twenty-four".