2688340248 has 288 divisors, whose sum is σ = 8558550000. Its totient is φ = 759559680.

The previous prime is 2688340219. The next prime is 2688340279. The reversal of 2688340248 is 8420438862.

2688340248 is a `hidden beast` number, since 2 + 68 + 8 + 340 + 248 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18042478 + ... + 18042626.

Almost surely, 2^2688340248 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 2688340248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279275000).

2688340248 is an abundant number, since it is smaller than the sum of its proper divisors (5870209752).

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

2688340248 is a wasteful number, since it uses less digits than its factorization.

2688340248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 2688340248 is about 51849.2068213198. The cubic root of 2688340248 is about 1390.4693217053.

The spelling of 2688340248 in words is "two billion, six hundred eighty-eight million, three hundred forty thousand, two hundred forty-eight".