2677887696 has 80 divisors (see below), whose sum is σ = 7558087680. Its totient is φ = 810264960.

The previous prime is 2677887679. The next prime is 2677887697. The reversal of 2677887696 is 6967887762.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2677887697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386761 + ... + 393623.

It is an arithmetic number, because the mean of its divisors is an integer number (94476096).

Almost surely, 2^2677887696 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 2677887696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779043840).

2677887696 is an abundant number, since it is smaller than the sum of its proper divisors (4880199984).

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

2677887696 is a wasteful number, since it uses less digits than its factorization.

2677887696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7624 (or 7618 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 66.

The square root of 2677887696 is about 51748.3110449027. The cubic root of 2677887696 is about 1388.6648836683.

Adding to 2677887696 its sum of digits (66), we get a palindrome (2677887762).

The spelling of 2677887696 in words is "two billion, six hundred seventy-seven million, eight hundred eighty-seven thousand, six hundred ninety-six".