2208341311488 has 720 divisors, whose sum is σ = 7176444844800. Its totient is φ = 670771445760.

The previous prime is 2208341311483. The next prime is 2208341311489. The reversal of 2208341311488 is 8841131438022.

2208341311488 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 34 + 131 + 1 + 488 = 666.

It is not an unprimeable number, because it can be changed into a prime (2208341311483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8148860793 + ... + 8148861063.

Almost surely, 2^{2208341311488} 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 2208341311488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588222422400).

2208341311488 is an abundant number, since it is smaller than the sum of its proper divisors (4968103533312).

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

2208341311488 is a wasteful number, since it uses less digits than its factorization.

2208341311488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 2208341311488 in words is "two trillion, two hundred eight billion, three hundred forty-one million, three hundred eleven thousand, four hundred eighty-eight".