2681865349001 has 2 divisors, whose sum is σ = 2681865349002. Its totient is φ = 2681865349000.

The previous prime is 2681865348991. The next prime is 2681865349019. The reversal of 2681865349001 is 1009435681862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2173604719225 + 508260629776 = 1474315^2 + 712924^2 .

It is a cyclic number.

It is not a de Polignac number, because 2681865349001 - 2¹⁰ = 2681865347977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2681865349201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1340932674500 + 1340932674501.

It is an arithmetic number, because the mean of its divisors is an integer number (1340932674501).

Almost surely, 2^{2681865349001} is an apocalyptic number.

It is an amenable number.

2681865349001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2681865349001 is an equidigital number, since it uses as much as digits as its factorization.

2681865349001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2488320, while the sum is 53.

The spelling of 2681865349001 in words is "two trillion, six hundred eighty-one billion, eight hundred sixty-five million, three hundred forty-nine thousand, one".