2705436828049 has 2 divisors, whose sum is σ = 2705436828050. Its totient is φ = 2705436828048.

The previous prime is 2705436827993. The next prime is 2705436828053. The reversal of 2705436828049 is 9408286345072.

It is a happy number.

2705436828049 is digitally balanced in base 2 and base 3, because in such bases 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., 1800145473025 + 905291355024 = 1341695^2 + 951468^2 .

It is a cyclic number.

It is not a de Polignac number, because 2705436828049 - 2⁷ = 2705436827921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2705436827984 and 2705436828002.

It is not a weakly prime, because it can be changed into another prime (2705436828949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1352718414024 + 1352718414025.

It is an arithmetic number, because the mean of its divisors is an integer number (1352718414025).

Almost surely, 2^{2705436828049} is an apocalyptic number.

It is an amenable number.

2705436828049 is a deficient number, since it is larger than the sum of its proper divisors (1).

2705436828049 is an equidigital number, since it uses as much as digits as its factorization.

2705436828049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 2705436828049 in words is "two trillion, seven hundred five billion, four hundred thirty-six million, eight hundred twenty-eight thousand, forty-nine".