2742657401521 has 2 divisors, whose sum is σ = 2742657401522. Its totient is φ = 2742657401520.

The previous prime is 2742657401509. The next prime is 2742657401651. The reversal of 2742657401521 is 1251047562472.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2742630775921 + 26625600 = 1656089^2 + 5160^2 .

It is a cyclic number.

It is not a de Polignac number, because 2742657401521 - 2²⁷ = 2742523183793 is a prime.

It is a super-2 number, since 2×2742657401521² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2742657401501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1371328700760 + 1371328700761.

It is an arithmetic number, because the mean of its divisors is an integer number (1371328700761).

Almost surely, 2^{2742657401521} is an apocalyptic number.

It is an amenable number.

2742657401521 is a deficient number, since it is larger than the sum of its proper divisors (1).

2742657401521 is an equidigital number, since it uses as much as digits as its factorization.

2742657401521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 940800, while the sum is 46.

The spelling of 2742657401521 in words is "two trillion, seven hundred forty-two billion, six hundred fifty-seven million, four hundred one thousand, five hundred twenty-one".