2676610880 has 56 divisors (see below), whose sum is σ = 6384112200. Its totient is φ = 1068892160.

The previous prime is 2676610879. The next prime is 2676610891. The reversal of 2676610880 is 880166762.

2676610880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 830361856 + 1846249024 = 28816^2 + 42968^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198596 + ... + 211644.

Almost surely, 2^2676610880 is an apocalyptic number.

2676610880 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 2676610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192056100).

2676610880 is an abundant number, since it is smaller than the sum of its proper divisors (3707501320).

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

2676610880 is a wasteful number, since it uses less digits than its factorization.

2676610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13707 (or 13697 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 2676610880 is about 51735.9727849008. The cubic root of 2676610880 is about 1388.4441435903. Note that the first 3 decimals are identical.

The spelling of 2676610880 in words is "two billion, six hundred seventy-six million, six hundred ten thousand, eight hundred eighty".