2688738500 has 96 divisors (see below), whose sum is σ = 6927857664. Its totient is φ = 892080000.

The previous prime is 2688738491. The next prime is 2688738553. The reversal of 2688738500 is 58378862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96110 + ... + 120890.

It is an arithmetic number, because the mean of its divisors is an integer number (72165184).

Almost surely, 2^2688738500 is an apocalyptic number.

2688738500 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 2688738500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463928832).

2688738500 is an abundant number, since it is smaller than the sum of its proper divisors (4239119164).

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

2688738500 is a wasteful number, since it uses less digits than its factorization.

2688738500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24838 (or 24826 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 2688738500 is about 51853.0471621485. The cubic root of 2688738500 is about 1390.5379799101.

The spelling of 2688738500 in words is "two billion, six hundred eighty-eight million, seven hundred thirty-eight thousand, five hundred".