2208089808288 has 1152 divisors, whose sum is σ = 8225800128000. Its totient is φ = 557615923200.

The previous prime is 2208089808241. The next prime is 2208089808341. The reversal of 2208089808288 is 8828089808022.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7857970708 + ... + 7857970988.

It is an arithmetic number, because the mean of its divisors is an integer number (7140451500).

Almost surely, 2^{2208089808288} is an apocalyptic number.

2208089808288 is a gapful number since it is divisible by the number (28) 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 2208089808288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112900064000).

2208089808288 is an abundant number, since it is smaller than the sum of its proper divisors (6017710319712).

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

2208089808288 is a wasteful number, since it uses less digits than its factorization.

2208089808288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 63.

The spelling of 2208089808288 in words is "two trillion, two hundred eight billion, eighty-nine million, eight hundred eight thousand, two hundred eighty-eight".