2688130100 has 72 divisors (see below), whose sum is σ = 6261271128. Its totient is φ = 998092800.

The previous prime is 2688130099. The next prime is 2688130111. The reversal of 2688130100 is 10318862.

It can be written as a sum of positive squares in 12 ways, for example, as 504811024 + 2183319076 = 22468^2 + 46726^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113270 + ... + 134930.

It is an arithmetic number, because the mean of its divisors is an integer number (86962099).

Almost surely, 2^2688130100 is an apocalyptic number.

2688130100 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 2688130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130635564).

2688130100 is an abundant number, since it is smaller than the sum of its proper divisors (3573141028).

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

2688130100 is a wasteful number, since it uses less digits than its factorization.

2688130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21765 (or 21758 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2688130100 is about 51847.1802511959. The cubic root of 2688130100 is about 1390.4330896892.

Adding to 2688130100 its reverse (10318862), we get a palindrome (2698448962).

The spelling of 2688130100 in words is "two billion, six hundred eighty-eight million, one hundred thirty thousand, one hundred".