2442400420 has 48 divisors (see below), whose sum is σ = 5209691760. Its totient is φ = 961652736.

The previous prime is 2442400399. The next prime is 2442400427. The reversal of 2442400420 is 240042442.

It can be written as a sum of positive squares in 8 ways, for example, as 26481316 + 2415919104 = 5146^2 + 49152^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2442400391 and 2442400400.

It is not an unprimeable number, because it can be changed into a prime (2442400427) by changing a digit.

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, 893616 + ... + 896344.

It is an arithmetic number, because the mean of its divisors is an integer number (108535245).

Almost surely, 2^2442400420 is an apocalyptic number.

2442400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442400420 is an abundant number, since it is smaller than the sum of its proper divisors (2767291340).

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

2442400420 is a wasteful number, since it uses less digits than its factorization.

2442400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2442400420 is about 49420.6477092318. The cubic root of 2442400420 is about 1346.7044297430.

Adding to 2442400420 its reverse (240042442), we get a palindrome (2682442862).

The spelling of 2442400420 in words is "two billion, four hundred forty-two million, four hundred thousand, four hundred twenty".