2772335072561 has 16 divisors (see below), whose sum is σ = 2866337210880. Its totient is φ = 2678621427840.

The previous prime is 2772335072539. The next prime is 2772335072593. The reversal of 2772335072561 is 1652705332772.

It is a cyclic number.

It is not a de Polignac number, because 2772335072561 - 2¹⁴ = 2772335056177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2772335072261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65307035 + ... + 65349471.

It is an arithmetic number, because the mean of its divisors is an integer number (179146075680).

Almost surely, 2^{2772335072561} is an apocalyptic number.

It is an amenable number.

2772335072561 is a deficient number, since it is larger than the sum of its proper divisors (94002138319).

2772335072561 is a wasteful number, since it uses less digits than its factorization.

2772335072561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45784.

The product of its (nonzero) digits is 3704400, while the sum is 50.

The spelling of 2772335072561 in words is "two trillion, seven hundred seventy-two billion, three hundred thirty-five million, seventy-two thousand, five hundred sixty-one".