2677102080 has 160 divisors (see below), whose sum is σ = 8721165024. Its totient is φ = 700317696.

The previous prime is 2677102037. The next prime is 2677102091. The reversal of 2677102080 is 802017762.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403752 + ... + 410328.

Almost surely, 2^2677102080 is an apocalyptic number.

2677102080 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 2677102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360582512).

2677102080 is an abundant number, since it is smaller than the sum of its proper divisors (6044062944).

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

2677102080 is an equidigital number, since it uses as much as digits as its factorization.

2677102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 2677102080 is about 51740.7197476030. The cubic root of 2677102080 is about 1388.5290721409.

The spelling of 2677102080 in words is "two billion, six hundred seventy-seven million, one hundred two thousand, eighty".