2993835381809 has 16 divisors (see below), whose sum is σ = 3107313358800. Its totient is φ = 2881053536256.

The previous prime is 2993835381701. The next prime is 2993835381827. The reversal of 2993835381809 is 9081835383992.

2993835381809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6372030625 + 2987463351184 = 79825^2 + 1728428^2 .

It is not a de Polignac number, because 2993835381809 - 2²⁰ = 2993834333233 is a prime.

It is a super-2 number, since 2×2993835381809² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2993835381899) 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, 12551867 + ... + 12788159.

It is an arithmetic number, because the mean of its divisors is an integer number (194207084925).

Almost surely, 2^{2993835381809} is an apocalyptic number.

2993835381809 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2993835381809 is a deficient number, since it is larger than the sum of its proper divisors (113477976991).

2993835381809 is a wasteful number, since it uses less digits than its factorization.

2993835381809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237764.

The product of its (nonzero) digits is 100776960, while the sum is 68.

The spelling of 2993835381809 in words is "two trillion, nine hundred ninety-three billion, eight hundred thirty-five million, three hundred eighty-one thousand, eight hundred nine".