2677739688 has 256 divisors, whose sum is σ = 8344089600. Its totient is φ = 790352640.

The previous prime is 2677739627. The next prime is 2677739689. The reversal of 2677739688 is 8869377762.

It is not an unprimeable number, because it can be changed into a prime (2677739689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8089683 + ... + 8090013.

It is an arithmetic number, because the mean of its divisors is an integer number (32594100).

Almost surely, 2^2677739688 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 2677739688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172044800).

2677739688 is an abundant number, since it is smaller than the sum of its proper divisors (5666349912).

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

2677739688 is a wasteful number, since it uses less digits than its factorization.

2677739688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 459 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The square root of 2677739688 is about 51746.8809494833. The cubic root of 2677739688 is about 1388.6392991626.

The spelling of 2677739688 in words is "two billion, six hundred seventy-seven million, seven hundred thirty-nine thousand, six hundred eighty-eight".