2676115872 has 288 divisors, whose sum is σ = 8335716480. Its totient is φ = 812021760.

The previous prime is 2676115861. The next prime is 2676115873. The reversal of 2676115872 is 2785116762.

2676115872 is a `hidden beast` number, since 2 + 6 + 7 + 61 + 1 + 587 + 2 = 666.

2676115872 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2676115873) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14950279 + ... + 14950457.

It is an arithmetic number, because the mean of its divisors is an integer number (28943460).

Almost surely, 2^2676115872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2676115872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167858240).

2676115872 is an abundant number, since it is smaller than the sum of its proper divisors (5659600608).

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

2676115872 is a wasteful number, since it uses less digits than its factorization.

2676115872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 2676115872 is about 51731.1885809712. The cubic root of 2676115872 is about 1388.3585461236.

The spelling of 2676115872 in words is "two billion, six hundred seventy-six million, one hundred fifteen thousand, eight hundred seventy-two".