2700766846801 has 27 divisors (see below), whose sum is σ = 2846778397203. Its totient is φ = 2562127895040.

The previous prime is 2700766846787. The next prime is 2700766846807. The reversal of 2700766846801 is 1086486670072.

The square root of 2700766846801 is 1643401.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2209982533201 + 490784313600 = 1486601^2 + 700560^2 .

It is not a de Polignac number, because 2700766846801 - 2¹¹ = 2700766844753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2700766846807) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2907175905 + ... + 2907176833.

Almost surely, 2^{2700766846801} is an apocalyptic number.

2700766846801 is the 1643401-st square number.

2700766846801 is the 821701-st centered octagonal number.

It is an amenable number.

2700766846801 is a deficient number, since it is larger than the sum of its proper divisors (146011550402).

2700766846801 is an frugal number, since it uses more digits than its factorization.

2700766846801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 2700766846801 in words is "two trillion, seven hundred billion, seven hundred sixty-six million, eight hundred forty-six thousand, eight hundred one".