2817380241 has 27 divisors (see below), whose sum is σ = 4409911857. Its totient is φ = 1732498560.

The previous prime is 2817380219. The next prime is 2817380273. The reversal of 2817380241 is 1420837182.

The square root of 2817380241 is 53079.

It is a perfect power (a square), and thus also a powerful number.

2817380241 is a `hidden beast` number, since 28 + 17 + 380 + 241 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1312250625 + 1505129616 = 36225^2 + 38796^2 .

It is not a de Polignac number, because 2817380241 - 2⁹ = 2817379729 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2817380196 and 2817380205.

It is not an unprimeable number, because it can be changed into a prime (2817380341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2069401 + ... + 2070761.

Almost surely, 2^2817380241 is an apocalyptic number.

2817380241 is the 53079-th square number.

2817380241 is the 26540-th centered octagonal number.

It is an amenable number.

2817380241 is a deficient number, since it is larger than the sum of its proper divisors (1592531616).

2817380241 is an equidigital number, since it uses as much as digits as its factorization.

2817380241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The cubic root of 2817380241 is about 1412.3700129004.

Multiplying 2817380241 by its sum of digits (36), we get a square (101425688676 = 318474²).

The spelling of 2817380241 in words is "two billion, eight hundred seventeen million, three hundred eighty thousand, two hundred forty-one".