2688966336 has 280 divisors, whose sum is σ = 8765113280. Its totient is φ = 725469696.

The previous prime is 2688966311. The next prime is 2688966337. The reversal of 2688966336 is 6336698862.

It is a super-3 number, since 3×2688966336³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2688966337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8758695 + ... + 8759001.

It is an arithmetic number, because the mean of its divisors is an integer number (31303976).

Almost surely, 2^2688966336 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 2688966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382556640).

2688966336 is an abundant number, since it is smaller than the sum of its proper divisors (6076146944).

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

2688966336 is an equidigital number, since it uses as much as digits as its factorization.

2688966336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 338 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 57.

The square root of 2688966336 is about 51855.2440549652. The cubic root of 2688966336 is about 1390.5772555361.

The spelling of 2688966336 in words is "two billion, six hundred eighty-eight million, nine hundred sixty-six thousand, three hundred thirty-six".