2611208880000 has 1280 divisors, whose sum is σ = 11059379865600. Its totient is φ = 593961984000.

The previous prime is 2611208879959. The next prime is 2611208880013. The reversal of 2611208880000 is 888021162.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5639759769 + ... + 5639760231.

It is an arithmetic number, because the mean of its divisors is an integer number (8640140520).

Almost surely, 2^{2611208880000} is an apocalyptic number.

2611208880000 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 2611208880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529689932800).

2611208880000 is an abundant number, since it is smaller than the sum of its proper divisors (8448170985600).

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

2611208880000 is an equidigital number, since it uses as much as digits as its factorization.

2611208880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 2611208880000 in words is "two trillion, six hundred eleven billion, two hundred eight million, eight hundred eighty thousand".