2782540353973 has 2 divisors, whose sum is σ = 2782540353974. Its totient is φ = 2782540353972.

The previous prime is 2782540353949. The next prime is 2782540353977. The reversal of 2782540353973 is 3793530452872.

2782540353973 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., 2676685779364 + 105854574609 = 1636058^2 + 325353^2 .

It is a cyclic number.

It is not a de Polignac number, because 2782540353973 - 2³³ = 2773950419381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2782540353977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1391270176986 + 1391270176987.

It is an arithmetic number, because the mean of its divisors is an integer number (1391270176987).

Almost surely, 2^{2782540353973} is an apocalyptic number.

It is an amenable number.

2782540353973 is a deficient number, since it is larger than the sum of its proper divisors (1).

2782540353973 is an equidigital number, since it uses as much as digits as its factorization.

2782540353973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38102400, while the sum is 58.

The spelling of 2782540353973 in words is "two trillion, seven hundred eighty-two billion, five hundred forty million, three hundred fifty-three thousand, nine hundred seventy-three".