2729107304001 has 27 divisors (see below), whose sum is σ = 4268704506339. Its totient is φ = 1679411000592.

The previous prime is 2729107303981. The next prime is 2729107304041. The reversal of 2729107304001 is 1004037019272.

The square root of 2729107304001 is 1652001.

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., 403714098225 + 2325393205776 = 635385^2 + 1524924^2 .

It is not a de Polignac number, because 2729107304001 - 2⁷ = 2729107303873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2729107304041) 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, 64406860 + ... + 64449218.

Almost surely, 2^{2729107304001} is an apocalyptic number.

2729107304001 is the 1652001-st square number.

2729107304001 is the 826001-st centered octagonal number.

It is an amenable number.

2729107304001 is a deficient number, since it is larger than the sum of its proper divisors (1539597202338).

2729107304001 is an frugal number, since it uses more digits than its factorization.

2729107304001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84750 (or 42375 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Multiplying 2729107304001 by its sum of digits (36), we get a square (98247862944036 = 9912006²).

The spelling of 2729107304001 in words is "two trillion, seven hundred twenty-nine billion, one hundred seven million, three hundred four thousand, one".