2683988892288 has 384 divisors, whose sum is σ = 8718579417600. Its totient is φ = 785175552000.

The previous prime is 2683988892287. The next prime is 2683988892317. The reversal of 2683988892288 is 8822988893862.

2683988892288 is a `hidden beast` number, since 2 + 68 + 398 + 8 + 8 + 92 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2683988892287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165374158 + ... + 165390386.

It is an arithmetic number, because the mean of its divisors is an integer number (22704633900).

Almost surely, 2^{2683988892288} 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 2683988892288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359289708800).

2683988892288 is an abundant number, since it is smaller than the sum of its proper divisors (6034590525312).

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

2683988892288 is a wasteful number, since it uses less digits than its factorization.

2683988892288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16712 (or 16697 counting only the distinct ones).

The product of its digits is 3057647616, while the sum is 81.

The spelling of 2683988892288 in words is "two trillion, six hundred eighty-three billion, nine hundred eighty-eight million, eight hundred ninety-two thousand, two hundred eighty-eight".