2072161441 has 15 divisors (see below), whose sum is σ = 2419982771. Its totient is φ = 1774226496.

The previous prime is 2072161423. The next prime is 2072161493. The reversal of 2072161441 is 1441612702.

The square root of 2072161441 is 45521.

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., 39955041 + 2032206400 = 6321^2 + 45080^2 .

It is not a de Polignac number, because 2072161441 - 2⁹ = 2072160929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2072161411) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2230065 + ... + 2230993.

Almost surely, 2^2072161441 is an apocalyptic number.

2072161441 is the 45521-st square number.

2072161441 is the 22761-st centered octagonal number.

It is an amenable number.

2072161441 is a deficient number, since it is larger than the sum of its proper divisors (347821330).

2072161441 is an frugal number, since it uses more digits than its factorization.

2072161441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The cubic root of 2072161441 is about 1274.8953272522.

The spelling of 2072161441 in words is "two billion, seventy-two million, one hundred sixty-one thousand, four hundred forty-one".