2688130760704 has 45 divisors (see below), whose sum is σ = 5376517196197. Its totient is φ = 1343960449024.

The previous prime is 2688130760701. The next prime is 2688130760737. The reversal of 2688130760704 is 4070670318862.

The square root of 2688130760704 is 1639552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 847224520704 + 1840906240000 = 920448^2 + 1356800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2688130760701) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 209856252 + ... + 209869060.

Almost surely, 2^{2688130760704} is an apocalyptic number.

2688130760704 is the 1639552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2688130760704

2688130760704 is an abundant number, since it is smaller than the sum of its proper divisors (2688386435493).

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

2688130760704 is an frugal number, since it uses more digits than its factorization.

2688130760704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25646 (or 12811 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 2688130760704 in words is "two trillion, six hundred eighty-eight billion, one hundred thirty million, seven hundred sixty thousand, seven hundred four".