2682698688 has 84 divisors (see below), whose sum is σ = 7735793520. Its totient is φ = 888878208.

The previous prime is 2682698657. The next prime is 2682698701. The reversal of 2682698688 is 8868962862.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16063981 + ... + 16064147.

It is an arithmetic number, because the mean of its divisors is an integer number (92092780).

Almost surely, 2^2682698688 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 2682698688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867896760).

2682698688 is an abundant number, since it is smaller than the sum of its proper divisors (5053094832).

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

2682698688 is an frugal number, since it uses more digits than its factorization.

2682698688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 172 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The square root of 2682698688 is about 51794.7747171469. The cubic root of 2682698688 is about 1389.4959937987.

The spelling of 2682698688 in words is "two billion, six hundred eighty-two million, six hundred ninety-eight thousand, six hundred eighty-eight".