2040961329 has 45 divisors (see below), whose sum is σ = 3330436109. Its totient is φ = 1203515280.

The previous prime is 2040961289. The next prime is 2040961337. The reversal of 2040961329 is 9231690402.

The square root of 2040961329 is 45177.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1272562929 + 768398400 = 35673^2 + 27720^2 .

It is not a de Polignac number, because 2040961329 - 2¹⁹ = 2040437041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2040961293 and 2040961302.

It is not an unprimeable number, because it can be changed into a prime (2040960329) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 55161099 + ... + 55161135.

Almost surely, 2^2040961329 is an apocalyptic number.

2040961329 is the 45177-th square number.

2040961329 is the 22589-th centered octagonal number.

It is an amenable number.

2040961329 is a deficient number, since it is larger than the sum of its proper divisors (1289474780).

2040961329 is an frugal number, since it uses more digits than its factorization.

2040961329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The cubic root of 2040961329 is about 1268.4643287559.

Multiplying 2040961329 by its sum of digits (36), we get a square (73474607844 = 271062²).

It can be divided in two parts, 2040 and 961329, that added together give a palindrome (963369).

The spelling of 2040961329 in words is "two billion, forty million, nine hundred sixty-one thousand, three hundred twenty-nine".