2688505344 has 400 divisors, whose sum is σ = 9398587440. Its totient is φ = 768144384.

The previous prime is 2688505319. The next prime is 2688505381. The reversal of 2688505344 is 4435058862.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2688505344 is a `hidden beast` number, since 2 + 68 + 8 + 50 + 534 + 4 = 666.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 2688505344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 384072189 + ... + 384072195.

Almost surely, 2^2688505344 is an apocalyptic number.

2688505344 is a gapful number since it is divisible by the number (24) 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 2688505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699293720).

2688505344 is an abundant number, since it is smaller than the sum of its proper divisors (6710082096).

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

2688505344 is an frugal number, since it uses more digits than its factorization.

2688505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 2688505344 is about 51850.7988752343. The cubic root of 2688505344 is about 1390.4977848961.

The spelling of 2688505344 in words is "two billion, six hundred eighty-eight million, five hundred five thousand, three hundred forty-four".