2972973002761 has 2 divisors, whose sum is σ = 2972973002762. Its totient is φ = 2972973002760.

The previous prime is 2972973002707. The next prime is 2972973002767. The reversal of 2972973002761 is 1672003792792.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2112243662736 + 860729340025 = 1453356^2 + 927755^2 .

It is a cyclic number.

It is not a de Polignac number, because 2972973002761 - 2⁷ = 2972973002633 is a prime.

It is not a weakly prime, because it can be changed into another prime (2972973002767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1486486501380 + 1486486501381.

It is an arithmetic number, because the mean of its divisors is an integer number (1486486501381).

Almost surely, 2^{2972973002761} is an apocalyptic number.

It is an amenable number.

2972973002761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2972973002761 is an equidigital number, since it uses as much as digits as its factorization.

2972973002761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4000752, while the sum is 55.

The spelling of 2972973002761 in words is "two trillion, nine hundred seventy-two billion, nine hundred seventy-three million, two thousand, seven hundred sixty-one".