2045480621209 has 9 divisors (see below), whose sum is σ = 2096647321279. Its totient is φ = 1995533641840.

The previous prime is 2045480621203. The next prime is 2045480621243. The reversal of 2045480621209 is 9021260845402.

The square root of 2045480621209 is 1430203.

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., 98562718809 + 1946917902400 = 313947^2 + 1395320^2 .

It is not a de Polignac number, because 2045480621209 - 2³¹ = 2043333137561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2045480621203) 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, 58620882 + ... + 58655764.

Almost surely, 2^{2045480621209} is an apocalyptic number.

2045480621209 is the 1430203-rd square number.

2045480621209 is the 715102-nd centered octagonal number.

It is an amenable number.

2045480621209 is a deficient number, since it is larger than the sum of its proper divisors (51166700070).

2045480621209 is an frugal number, since it uses more digits than its factorization.

2045480621209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69848 (or 34924 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

It can be divided in two parts, 2045480 and 621209, that added together give a square (2666689 = 1633²).

The spelling of 2045480621209 in words is "two trillion, forty-five billion, four hundred eighty million, six hundred twenty-one thousand, two hundred nine".