2730167001 has 9 divisors (see below), whose sum is σ = 3943800991. Its totient is φ = 1820006832.

The previous prime is 2730166991. The next prime is 2730167009. The reversal of 2730167001 is 1007610372.

The square root of 2730167001 is 52251.

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

2730167001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2572011225 + 158155776 = 50715^2 + 12576^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2730167001 - 2⁹ = 2730166489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2730167009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 148045 + ... + 165461.

Almost surely, 2^2730167001 is an apocalyptic number.

2730167001 is the 52251-st square number.

2730167001 is the 26126-th centered octagonal number.

It is an amenable number.

2730167001 is a deficient number, since it is larger than the sum of its proper divisors (1213633990).

2730167001 is an frugal number, since it uses more digits than its factorization.

2730167001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34840 (or 17420 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The cubic root of 2730167001 is about 1397.6434848297.

Multiplying 2730167001 by its product of nonzero digits (1764), we get a square (4816014589764 = 2194542²).

Adding to 2730167001 its reverse (1007610372), we get a palindrome (3737777373).

It can be divided in two parts, 27 and 30167001, that added together give a triangular number (30167028 = T₇₇₆₇).

The spelling of 2730167001 in words is "two billion, seven hundred thirty million, one hundred sixty-seven thousand, one".