2891082880000 has 440 divisors, whose sum is σ = 8287697088000. Its totient is φ = 987131904000.

The previous prime is 2891082879931. The next prime is 2891082880003. The reversal of 2891082880000 is 882801982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2891082880003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1205118801 + ... + 1205121199.

It is an arithmetic number, because the mean of its divisors is an integer number (18835675200).

Almost surely, 2^{2891082880000} is an apocalyptic number.

2891082880000 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 2891082880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143848544000).

2891082880000 is an abundant number, since it is smaller than the sum of its proper divisors (5396614208000).

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

2891082880000 is an equidigital number, since it uses as much as digits as its factorization.

2891082880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 46.

The spelling of 2891082880000 in words is "two trillion, eight hundred ninety-one billion, eighty-two million, eight hundred eighty thousand".