2718373265001 has 27 divisors (see below), whose sum is σ = 4020292178487. Its totient is φ = 1769965026480.

The previous prime is 2718373264993. The next prime is 2718373265051. The reversal of 2718373265001 is 1005623738172.

The square root of 2718373265001 is 1648749.

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

2718373265001 is a `hidden beast` number, since 2 + 7 + 18 + 373 + 265 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2006611069401 + 711762195600 = 1416549^2 + 843660^2 .

It is not a de Polignac number, because 2718373265001 - 2³ = 2718373264993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2718373265051) 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, 212682231 + ... + 212695011.

Almost surely, 2^{2718373265001} is an apocalyptic number.

2718373265001 is the 1648749-th square number.

2718373265001 is the 824375-th centered octagonal number.

It is an amenable number.

2718373265001 is a deficient number, since it is larger than the sum of its proper divisors (1301918913486).

2718373265001 is an frugal number, since it uses more digits than its factorization.

2718373265001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25654 (or 12827 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2718373265001 in words is "two trillion, seven hundred eighteen billion, three hundred seventy-three million, two hundred sixty-five thousand, one".