2402400224 has 36 divisors (see below), whose sum is σ = 5501929104. Its totient is φ = 1029599424.

The previous prime is 2402400193. The next prime is 2402400257. The reversal of 2402400224 is 4220042042.

It is a junction number, because it is equal to n+sod(n) for n = 2402400196 and 2402400205.

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 5 ways as a sum of consecutive naturals, for example, 764504 + ... + 767639.

It is an arithmetic number, because the mean of its divisors is an integer number (152831364).

Almost surely, 2^2402400224 is an apocalyptic number.

It is an amenable number.

2402400224 is an abundant number, since it is smaller than the sum of its proper divisors (3099528880).

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

2402400224 is a wasteful number, since it uses less digits than its factorization.

2402400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532167 (or 1532152 counting only the distinct ones).

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

The square root of 2402400224 is about 49014.2859174751. The cubic root of 2402400224 is about 1339.3120817433.

Adding to 2402400224 its reverse (4220042042), we get a palindrome (6622442266).

The spelling of 2402400224 in words is "two billion, four hundred two million, four hundred thousand, two hundred twenty-four".