2678166001 has 9 divisors (see below), whose sum is σ = 3115839051. Its totient is φ = 2295260352.

The previous prime is 2678165993. The next prime is 2678166011. The reversal of 2678166001 is 1006618762.

The square root of 2678166001 is 51751.

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., 433680625 + 2244485376 = 20825^2 + 47376^2 .

It is not a de Polignac number, because 2678166001 - 2³ = 2678165993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2678166011) 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 8 ways as a sum of consecutive naturals, for example, 358561 + ... + 365953.

It is an arithmetic number, because the mean of its divisors is an integer number (346204339).

Almost surely, 2^2678166001 is an apocalyptic number.

2678166001 is the 51751-st square number.

2678166001 is the 25876-th centered octagonal number.

It is an amenable number.

2678166001 is a deficient number, since it is larger than the sum of its proper divisors (437673050).

2678166001 is an frugal number, since it uses more digits than its factorization.

2678166001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14800 (or 7400 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The cubic root of 2678166001 is about 1388.7129886222.

The spelling of 2678166001 in words is "two billion, six hundred seventy-eight million, one hundred sixty-six thousand, one".