2611108080 has 480 divisors, whose sum is σ = 10426416000. Its totient is φ = 585252864.

The previous prime is 2611108057. The next prime is 2611108109. The reversal of 2611108080 is 808011162.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23955066 + ... + 23955174.

It is an arithmetic number, because the mean of its divisors is an integer number (21721700).

Almost surely, 2^2611108080 is an apocalyptic number.

2611108080 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 2611108080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213208000).

2611108080 is an abundant number, since it is smaller than the sum of its proper divisors (7815307920).

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

2611108080 is a wasteful number, since it uses less digits than its factorization.

2611108080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 2611108080 is about 51099.0027299946. The cubic root of 2611108080 is about 1377.0243381038.

The spelling of 2611108080 in words is "two billion, six hundred eleven million, one hundred eight thousand, eighty".