2891431577241 has 27 divisors (see below), whose sum is σ = 4228057094079. Its totient is φ = 1904117832432.

The previous prime is 2891431577231. The next prime is 2891431577257. The reversal of 2891431577241 is 1427751341982.

It is a happy number.

The square root of 2891431577241 is 1700421.

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

2891431577241 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 43 + 1 + 577 + 24 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1568057432841 + 1323374144400 = 1252221^2 + 1150380^2 .

It is not a de Polignac number, because 2891431577241 - 2²¹ = 2891429480089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2891431577231) 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 26 ways as a sum of consecutive naturals, for example, 423401415 + ... + 423408243.

Almost surely, 2^{2891431577241} is an apocalyptic number.

2891431577241 is the 1700421-st square number.

2891431577241 is the 850211-st centered octagonal number.

It is an amenable number.

2891431577241 is a deficient number, since it is larger than the sum of its proper divisors (1336625516838).

2891431577241 is an frugal number, since it uses more digits than its factorization.

2891431577241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13830 (or 6915 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 2891431577241 in words is "two trillion, eight hundred ninety-one billion, four hundred thirty-one million, five hundred seventy-seven thousand, two hundred forty-one".