2400324040 has 16 divisors (see below), whose sum is σ = 5400729180. Its totient is φ = 960129600.

The previous prime is 2400324001. The next prime is 2400324041. The reversal of 2400324040 is 404230042.

It can be written as a sum of positive squares in 2 ways, for example, as 2281208644 + 119115396 = 47762^2 + 10914^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2400323999 and 2400324017.

It is not an unprimeable number, because it can be changed into a prime (2400324041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30004011 + ... + 30004090.

Almost surely, 2^2400324040 is an apocalyptic number.

2400324040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400324040 is an abundant number, since it is smaller than the sum of its proper divisors (3000405140).

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

2400324040 is a wasteful number, since it uses less digits than its factorization.

2400324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60008112 (or 60008108 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2400324040 is about 48993.1019634397. The cubic root of 2400324040 is about 1338.9261538563.

Adding to 2400324040 its reverse (404230042), we get a palindrome (2804554082).

The spelling of 2400324040 in words is "two billion, four hundred million, three hundred twenty-four thousand, forty".