2442406240 has 96 divisors (see below), whose sum is σ = 5857427520. Its totient is φ = 962304000.

The previous prime is 2442406231. The next prime is 2442406259. The reversal of 2442406240 is 426042442.

It is a junction number, because it is equal to n+sod(n) for n = 2442406199 and 2442406208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5801230 + ... + 5801650.

It is an arithmetic number, because the mean of its divisors is an integer number (61014870).

Almost surely, 2^2442406240 is an apocalyptic number.

2442406240 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 2442406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928713760).

2442406240 is an abundant number, since it is smaller than the sum of its proper divisors (3415021280).

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

2442406240 is a wasteful number, since it uses less digits than its factorization.

2442406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 2442406240 is about 49420.7065914683. The cubic root of 2442406240 is about 1346.7054994303.

Adding to 2442406240 its reverse (426042442), we get a palindrome (2868448682).

The spelling of 2442406240 in words is "two billion, four hundred forty-two million, four hundred six thousand, two hundred forty".