2906565028729 has 16 divisors (see below), whose sum is σ = 3108914161920. Its totient is φ = 2712303475840.

The previous prime is 2906565028723. The next prime is 2906565028733. The reversal of 2906565028729 is 9278205656092.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2906565028729 - 2¹⁷ = 2906564897657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2906565028723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11295889 + ... + 11550334.

It is an arithmetic number, because the mean of its divisors is an integer number (194307135120).

Almost surely, 2^{2906565028729} is an apocalyptic number.

2906565028729 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2906565028729 is a deficient number, since it is larger than the sum of its proper divisors (202349133191).

2906565028729 is a wasteful number, since it uses less digits than its factorization.

2906565028729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22846400.

The product of its (nonzero) digits is 32659200, while the sum is 61.

The spelling of 2906565028729 in words is "two trillion, nine hundred six billion, five hundred sixty-five million, twenty-eight thousand, seven hundred twenty-nine".