2891948528329 has 27 divisors (see below), whose sum is σ = 3378273377031. Its totient is φ = 2468415720960.

The previous prime is 2891948528311. The next prime is 2891948528333. The reversal of 2891948528329 is 9238258491982.

The square root of 2891948528329 is 1700573.

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., 2610412168329 + 281536360000 = 1615677^2 + 530600^2 .

It is not a de Polignac number, because 2891948528329 - 2⁹ = 2891948527817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2891948528429) 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, 4511619849 + ... + 4511620489.

Almost surely, 2^{2891948528329} is an apocalyptic number.

2891948528329 is the 1700573-rd square number.

2891948528329 is the 850287-th centered octagonal number.

It is an amenable number.

2891948528329 is a deficient number, since it is larger than the sum of its proper divisors (486324848702).

2891948528329 is an frugal number, since it uses more digits than its factorization.

2891948528329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 1027 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 70.

The spelling of 2891948528329 in words is "two trillion, eight hundred ninety-one billion, nine hundred forty-eight million, five hundred twenty-eight thousand, three hundred twenty-nine".