2676117120 has 128 divisors (see below), whose sum is σ = 8548562880. Its totient is φ = 712089600.

The previous prime is 2676117113. The next prime is 2676117121. The reversal of 2676117120 is 217116762.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2676117121) 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 15 ways as a sum of consecutive naturals, for example, 1095100 + ... + 1097540.

Almost surely, 2^2676117120 is an apocalyptic number.

2676117120 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 2676117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274281440).

2676117120 is an abundant number, since it is smaller than the sum of its proper divisors (5872445760).

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

2676117120 is a wasteful number, since it uses less digits than its factorization.

2676117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 2676117120 is about 51731.2006433255. The cubic root of 2676117120 is about 1388.3587619428.

The spelling of 2676117120 in words is "two billion, six hundred seventy-six million, one hundred seventeen thousand, one hundred twenty".