2041126680096 has 864 divisors, whose sum is σ = 7224339507840. Its totient is φ = 555321360384.

The previous prime is 2041126680079. The next prime is 2041126680097. The reversal of 2041126680096 is 6900866211402.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (2041126680097) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3537480960 + ... + 3537481536.

It is an arithmetic number, because the mean of its divisors is an integer number (8361504060).

Almost surely, 2^{2041126680096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041126680096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612169753920).

2041126680096 is an abundant number, since it is smaller than the sum of its proper divisors (5183212827744).

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

2041126680096 is an frugal number, since it uses more digits than its factorization.

2041126680096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2041126680096 in words is "two trillion, forty-one billion, one hundred twenty-six million, six hundred eighty thousand, ninety-six".