2985768769 has 16 divisors (see below), whose sum is σ = 3288003840. Its totient is φ = 2699746560.

The previous prime is 2985768757. The next prime is 2985768781. The reversal of 2985768769 is 9678675892.

It is an interprime number because it is at equal distance from previous prime (2985768757) and next prime (2985768781).

It is a cyclic number.

It is not a de Polignac number, because 2985768769 - 2⁹ = 2985768257 is a prime.

It is a super-2 number, since 2×2985768769² = 17829630283871550722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2985768749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11112 + ... + 78070.

It is an arithmetic number, because the mean of its divisors is an integer number (205500240).

Almost surely, 2^2985768769 is an apocalyptic number.

It is an amenable number.

2985768769 is a deficient number, since it is larger than the sum of its proper divisors (302235071).

2985768769 is a wasteful number, since it uses less digits than its factorization.

2985768769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67080.

The product of its digits is 91445760, while the sum is 67.

The square root of 2985768769 is about 54642.1885451159. The cubic root of 2985768769 is about 1439.9654005640.

The spelling of 2985768769 in words is "two billion, nine hundred eighty-five million, seven hundred sixty-eight thousand, seven hundred sixty-nine".