2741671106020 has 192 divisors, whose sum is σ = 7426916646912. Its totient is φ = 825064704000.

The previous prime is 2741671106011. The next prime is 2741671106021. The reversal of 2741671106020 is 206011761472.

2741671106020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2741671106021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20605105 + ... + 20737735.

It is an arithmetic number, because the mean of its divisors is an integer number (38681857536).

Almost surely, 2^{2741671106020} is an apocalyptic number.

2741671106020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2741671106020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713458323456).

2741671106020 is an abundant number, since it is smaller than the sum of its proper divisors (4685245540892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2741671106020 is a wasteful number, since it uses less digits than its factorization.

2741671106020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133122 (or 133120 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

Adding to 2741671106020 its reverse (206011761472), we get a palindrome (2947682867492).

It can be divided in two parts, 2741671 and 106020, that added together give a triangular number (2847691 = T₂₃₈₆).

The spelling of 2741671106020 in words is "two trillion, seven hundred forty-one billion, six hundred seventy-one million, one hundred six thousand, twenty".