2742064362001 has 2 divisors, whose sum is σ = 2742064362002. Its totient is φ = 2742064362000.

The previous prime is 2742064361969. The next prime is 2742064362053. The reversal of 2742064362001 is 1002634602472.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2737568793600 + 4495568401 = 1654560^2 + 67049^2 .

It is a cyclic number.

It is not a de Polignac number, because 2742064362001 - 2⁵ = 2742064361969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2742064462001) 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 as a sum of consecutive naturals, namely, 1371032181000 + 1371032181001.

It is an arithmetic number, because the mean of its divisors is an integer number (1371032181001).

Almost surely, 2^{2742064362001} is an apocalyptic number.

It is an amenable number.

2742064362001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2742064362001 is an equidigital number, since it uses as much as digits as its factorization.

2742064362001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 37.

Adding to 2742064362001 its reverse (1002634602472), we get a palindrome (3744698964473).

The spelling of 2742064362001 in words is "two trillion, seven hundred forty-two billion, sixty-four million, three hundred sixty-two thousand, one".