2882181894601 has 27 divisors (see below), whose sum is σ = 3035685221037. Its totient is φ = 2736215432280.

The previous prime is 2882181894583. The next prime is 2882181894607. The reversal of 2882181894601 is 1064981812882.

The square root of 2882181894601 is 1697699.

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

It is not a de Polignac number, because 2882181894601 - 2²⁷ = 2882047676873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2882181894607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8707498006 + ... + 8707498336.

Almost surely, 2^{2882181894601} is an apocalyptic number.

2882181894601 is the 1697699-th square number.

2882181894601 is the 848850-th centered octagonal number.

It is an amenable number.

2882181894601 is a deficient number, since it is larger than the sum of its proper divisors (153503326436).

2882181894601 is an frugal number, since it uses more digits than its factorization.

2882181894601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 58.

The spelling of 2882181894601 in words is "two trillion, eight hundred eighty-two billion, one hundred eighty-one million, eight hundred ninety-four thousand, six hundred one".