2721813241 has 27 divisors (see below), whose sum is σ = 3291943629. Its totient is φ = 2243770368.

The previous prime is 2721813239. The next prime is 2721813253. The reversal of 2721813241 is 1423181272.

The square root of 2721813241 is 52171.

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 1089330025 + 1632483216 = 33005^2 + 40404^2 .

It is not a de Polignac number, because 2721813241 - 2¹ = 2721813239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2721810241) 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 26 ways as a sum of consecutive naturals, for example, 10590585 + ... + 10590841.

Almost surely, 2^2721813241 is an apocalyptic number.

2721813241 is the 52171-st square number.

2721813241 is the 26086-th centered octagonal number.

It is an amenable number.

2721813241 is a deficient number, since it is larger than the sum of its proper divisors (570130388).

2721813241 is an frugal number, since it uses more digits than its factorization.

2721813241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 293 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The cubic root of 2721813241 is about 1396.2165261098.

The spelling of 2721813241 in words is "two billion, seven hundred twenty-one million, eight hundred thirteen thousand, two hundred forty-one".