2742521664401 has 2 divisors, whose sum is σ = 2742521664402. Its totient is φ = 2742521664400.

The previous prime is 2742521664359. The next prime is 2742521664427. The reversal of 2742521664401 is 1044661252472.

It is a happy number.

2742521664401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1540974649600 + 1201547014801 = 1241360^2 + 1096151^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2742521664401 is a prime.

It is not a weakly prime, because it can be changed into another prime (2742521684401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1371260832200 + 1371260832201.

It is an arithmetic number, because the mean of its divisors is an integer number (1371260832201).

Almost surely, 2^{2742521664401} is an apocalyptic number.

It is an amenable number.

2742521664401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2742521664401 is an equidigital number, since it uses as much as digits as its factorization.

2742521664401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 2742521664401 in words is "two trillion, seven hundred forty-two billion, five hundred twenty-one million, six hundred sixty-four thousand, four hundred one".