2032116241 has 9 divisors (see below), whose sum is σ = 2068775163. Its totient is φ = 1996098120.

The previous prime is 2032116227. The next prime is 2032116259. The reversal of 2032116241 is 1426112302.

The square root of 2032116241 is 45079.

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

It can be written as a sum of positive squares in only one way, i.e., 66080641 + 1966035600 = 8129^2 + 44340^2 .

It is not a de Polignac number, because 2032116241 - 2⁵ = 2032116209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2032116221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2749450 + ... + 2750188.

It is an arithmetic number, because the mean of its divisors is an integer number (229863907).

Almost surely, 2^2032116241 is an apocalyptic number.

2032116241 is the 45079-th square number.

2032116241 is the 22540-th centered octagonal number.

It is an amenable number.

2032116241 is a deficient number, since it is larger than the sum of its proper divisors (36658922).

2032116241 is an frugal number, since it uses more digits than its factorization.

2032116241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 2032116241 is about 1266.6292579518.

Multiplying 2032116241 by its product of nonzero digits (576), we get a square (1170498954816 = 1081896²).

Adding to 2032116241 its reverse (1426112302), we get a palindrome (3458228543).

The spelling of 2032116241 in words is "two billion, thirty-two million, one hundred sixteen thousand, two hundred forty-one".