2478427841 has 24 divisors (see below), whose sum is σ = 2733302520. Its totient is φ = 2239405056.

The previous prime is 2478427837. The next prime is 2478427867. The reversal of 2478427841 is 1487248742.

It can be written as a sum of positive squares in 12 ways, for example, as 24216241 + 2454211600 = 4921^2 + 49540^2 .

It is not a de Polignac number, because 2478427841 - 2² = 2478427837 is a prime.

It is a super-2 number, since 2×2478427841² = 12285209126087842562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2478427801) 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, 3273635 + ... + 3274391.

It is an arithmetic number, because the mean of its divisors is an integer number (113887605).

Almost surely, 2^2478427841 is an apocalyptic number.

It is an amenable number.

2478427841 is a deficient number, since it is larger than the sum of its proper divisors (254874679).

2478427841 is a wasteful number, since it uses less digits than its factorization.

2478427841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1032 counting only the distinct ones).

The product of its digits is 802816, while the sum is 47.

The square root of 2478427841 is about 49783.8110333068. The cubic root of 2478427841 is about 1353.2938027002.

It can be divided in two parts, 24784 and 27841, that added together give a palindrome (52625).

The spelling of 2478427841 in words is "two billion, four hundred seventy-eight million, four hundred twenty-seven thousand, eight hundred forty-one".