2042410405 has 48 divisors (see below), whose sum is σ = 2961569520. Its totient is φ = 1346623488.

The previous prime is 2042410387. The next prime is 2042410429. The reversal of 2042410405 is 5040142402.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 386083201 + 1656327204 = 19649^2 + 40698^2 .

It is not a de Polignac number, because 2042410405 - 2¹³ = 2042402213 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2393959 + ... + 2394811.

It is an arithmetic number, because the mean of its divisors is an integer number (61699365).

Almost surely, 2^2042410405 is an apocalyptic number.

It is an amenable number.

2042410405 is a deficient number, since it is larger than the sum of its proper divisors (919159115).

2042410405 is a wasteful number, since it uses less digits than its factorization.

2042410405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2042410405 is about 45193.0349168984. The cubic root of 2042410405 is about 1268.7644596053.

Adding to 2042410405 its reverse (5040142402), we get a palindrome (7082552807).

The spelling of 2042410405 in words is "two billion, forty-two million, four hundred ten thousand, four hundred five".