2671579208880 has 480 divisors, whose sum is σ = 9403774548480. Its totient is φ = 678911016960.

The previous prime is 2671579208843. The next prime is 2671579208887. The reversal of 2671579208880 is 888029751762.

It is not an unprimeable number, because it can be changed into a prime (2671579208887) 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 95 ways as a sum of consecutive naturals, for example, 510522744 + ... + 510527976.

It is an arithmetic number, because the mean of its divisors is an integer number (19591196976).

Almost surely, 2^{2671579208880} is an apocalyptic number.

2671579208880 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 2671579208880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701887274240).

2671579208880 is an abundant number, since it is smaller than the sum of its proper divisors (6732195339600).

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

2671579208880 is a wasteful number, since it uses less digits than its factorization.

2671579208880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 2671579208880 in words is "two trillion, six hundred seventy-one billion, five hundred seventy-nine million, two hundred eight thousand, eight hundred eighty".