2084741111441 has 8 divisors (see below), whose sum is σ = 2114221009320. Its totient is φ = 2055286127232.

The previous prime is 2084741111437. The next prime is 2084741111449. The reversal of 2084741111441 is 1441111474802.

It can be written as a sum of positive squares in 4 ways, for example, as 35036352400 + 2049704759041 = 187180^2 + 1431679^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2084741111441 - 2² = 2084741111437 is a prime.

It is a super-2 number, since 2×2084741111441² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2084741111395 and 2084741111404.

It is not an unprimeable number, because it can be changed into a prime (2084741111449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6059846 + ... + 6394623.

It is an arithmetic number, because the mean of its divisors is an integer number (264277626165).

Almost surely, 2^{2084741111441} is an apocalyptic number.

It is an amenable number.

2084741111441 is a deficient number, since it is larger than the sum of its proper divisors (29479897879).

2084741111441 is a wasteful number, since it uses less digits than its factorization.

2084741111441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12456835.

The product of its (nonzero) digits is 28672, while the sum is 38.

The spelling of 2084741111441 in words is "two trillion, eighty-four billion, seven hundred forty-one million, one hundred eleven thousand, four hundred forty-one".