2703817860241 has 9 divisors (see below), whose sum is σ = 2800317349713. Its totient is φ = 2610536720400.

The previous prime is 2703817860223. The next prime is 2703817860251. The reversal of 2703817860241 is 1420687183072.

The square root of 2703817860241 is 1644329.

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

It can be written as a sum of positive squares in 4 ways, for example, as 76436213841 + 2627381646400 = 276471^2 + 1620920^2 .

It is not a de Polignac number, because 2703817860241 - 2⁵ = 2703817860209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2703817860221) 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 8 ways as a sum of consecutive naturals, for example, 47657191 + ... + 47713891.

Almost surely, 2^{2703817860241} is an apocalyptic number.

2703817860241 is the 1644329-th square number.

2703817860241 is the 822165-th centered octagonal number.

It is an amenable number.

2703817860241 is a deficient number, since it is larger than the sum of its proper divisors (96499489472).

2703817860241 is an frugal number, since it uses more digits than its factorization.

2703817860241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113460 (or 56730 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

Multiplying 2703817860241 by its sum of digits (49), we get a square (132487075151809 = 11510303²).

The spelling of 2703817860241 in words is "two trillion, seven hundred three billion, eight hundred seventeen million, eight hundred sixty thousand, two hundred forty-one".