2042415305 has 24 divisors (see below), whose sum is σ = 2858292360. Its totient is φ = 1396953600.

The previous prime is 2042415301. The next prime is 2042415329. The reversal of 2042415305 is 5035142402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1219127056 + 823288249 = 34916^2 + 28693^2 .

It is not a de Polignac number, because 2042415305 - 2² = 2042415301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2042415301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87851 + ... + 108639.

It is an arithmetic number, because the mean of its divisors is an integer number (119095515).

Almost surely, 2^2042415305 is an apocalyptic number.

It is an amenable number.

2042415305 is a deficient number, since it is larger than the sum of its proper divisors (815877055).

2042415305 is a wasteful number, since it uses less digits than its factorization.

2042415305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21209 (or 21202 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2042415305 is about 45193.0891287595. The cubic root of 2042415305 is about 1268.7654742465.

Adding to 2042415305 its reverse (5035142402), we get a palindrome (7077557707).

The spelling of 2042415305 in words is "two billion, forty-two million, four hundred fifteen thousand, three hundred five".