2688723456 has 80 divisors (see below), whose sum is σ = 7284578400. Its totient is φ = 881020928.

The previous prime is 2688723449. The next prime is 2688723473. The reversal of 2688723456 is 6543278862.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2688723399 and 2688723408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75790 + ... + 105458.

It is an arithmetic number, because the mean of its divisors is an integer number (91057230).

Almost surely, 2^2688723456 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 2688723456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642289200).

2688723456 is an abundant number, since it is smaller than the sum of its proper divisors (4595854944).

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

2688723456 is an equidigital number, since it uses as much as digits as its factorization.

2688723456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29749 (or 29733 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 2688723456 is about 51852.9020981468. The cubic root of 2688723456 is about 1390.5353864643.

The spelling of 2688723456 in words is "two billion, six hundred eighty-eight million, seven hundred twenty-three thousand, four hundred fifty-six".