2442406400 has 120 divisors (see below), whose sum is σ = 6915971040. Its totient is φ = 837365760.

The previous prime is 2442406399. The next prime is 2442406403. The reversal of 2442406400 is 46042442.

It is a self number, because there is not a number n which added to its sum of digits gives 2442406400.

It is not an unprimeable number, because it can be changed into a prime (2442406403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75971 + ... + 103229.

It is an arithmetic number, because the mean of its divisors is an integer number (57633092).

Almost surely, 2^2442406400 is an apocalyptic number.

2442406400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457985520).

2442406400 is an abundant number, since it is smaller than the sum of its proper divisors (4473564640).

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

2442406400 is an equidigital number, since it uses as much as digits as its factorization.

2442406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27294 (or 27273 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2442406400 is about 49420.7082102230. The cubic root of 2442406400 is about 1346.7055288374.

Adding to 2442406400 its reverse (46042442), we get a palindrome (2488448842).

The spelling of 2442406400 in words is "two billion, four hundred forty-two million, four hundred six thousand, four hundred".