2742953769001 has 2 divisors, whose sum is σ = 2742953769002. Its totient is φ = 2742953769000.

The previous prime is 2742953768963. The next prime is 2742953769037. The reversal of 2742953769001 is 1009673592472.

2742953769001 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., 2696804418025 + 46149350976 = 1642195^2 + 214824^2 .

It is a cyclic number.

It is not a de Polignac number, because 2742953769001 - 2¹⁵ = 2742953736233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2742953769041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1371476884500 + 1371476884501.

It is an arithmetic number, because the mean of its divisors is an integer number (1371476884501).

Almost surely, 2^{2742953769001} is an apocalyptic number.

It is an amenable number.

2742953769001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2742953769001 is an equidigital number, since it uses as much as digits as its factorization.

2742953769001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5715360, while the sum is 55.

The spelling of 2742953769001 in words is "two trillion, seven hundred forty-two billion, nine hundred fifty-three million, seven hundred sixty-nine thousand, one".