2677828880 has 40 divisors (see below), whose sum is σ = 6257592792. Its totient is φ = 1065688064.

The previous prime is 2677828877. The next prime is 2677828921. The reversal of 2677828880 is 888287762.

2677828880 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 1906544896 + 771283984 = 43664^2 + 27772^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 69197 + ... + 100716.

Almost surely, 2^2677828880 is an apocalyptic number.

2677828880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2677828880 is an abundant number, since it is smaller than the sum of its proper divisors (3579763912).

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

2677828880 is a wasteful number, since it uses less digits than its factorization.

2677828880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170123 (or 170117 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 56.

The square root of 2677828880 is about 51747.7427527037. The cubic root of 2677828880 is about 1388.6547169099.

The spelling of 2677828880 in words is "two billion, six hundred seventy-seven million, eight hundred twenty-eight thousand, eight hundred eighty".