2042424406420 has 24 divisors (see below), whose sum is σ = 4299895026504. Its totient is φ = 814911901056.

The previous prime is 2042424406411. The next prime is 2042424406453. The reversal of 2042424406420 is 246044242402.

It can be written as a sum of positive squares in 4 ways, for example, as 462968654724 + 1579455751696 = 680418^2 + 1256764^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128608207 + ... + 128624086.

It is an arithmetic number, because the mean of its divisors is an integer number (179162292771).

Almost surely, 2^{2042424406420} is an apocalyptic number.

2042424406420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042424406420 is an abundant number, since it is smaller than the sum of its proper divisors (2257470620084).

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

2042424406420 is a wasteful number, since it uses less digits than its factorization.

2042424406420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257232699 (or 257232697 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 2042424406420 its reverse (246044242402), we get a palindrome (2288468648822).

The spelling of 2042424406420 in words is "two trillion, forty-two billion, four hundred twenty-four million, four hundred six thousand, four hundred twenty".