2081275641 has 45 divisors (see below), whose sum is σ = 3218860029. Its totient is φ = 1340162496.

The previous prime is 2081275633. The next prime is 2081275687. The reversal of 2081275641 is 1465721802.

The square root of 2081275641 is 45621.

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

2081275641 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 2 + 7 + 5 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 555592041 + 1525683600 = 23571^2 + 39060^2 .

It is not a de Polignac number, because 2081275641 - 2³ = 2081275633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2081275596 and 2081275605.

It is not an unprimeable number, because it can be changed into a prime (2081271641) 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, 15191725 + ... + 15191861.

Almost surely, 2^2081275641 is an apocalyptic number.

2081275641 is the 45621-st square number.

2081275641 is the 22811-st centered octagonal number.

It is an amenable number.

2081275641 is a deficient number, since it is larger than the sum of its proper divisors (1137584388).

2081275641 is an frugal number, since it uses more digits than its factorization.

2081275641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The cubic root of 2081275641 is about 1276.7617610640.

Multiplying 2081275641 by its sum of digits (36), we get a square (74925923076 = 273726²).

The spelling of 2081275641 in words is "two billion, eighty-one million, two hundred seventy-five thousand, six hundred forty-one".