2208487680000 has 2400 divisors, whose sum is σ = 10030562942400. Its totient is φ = 472449024000.

The previous prime is 2208487679999. The next prime is 2208487680013. The reversal of 2208487680000 is 867848022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 12337919911 + ... + 12337920089.

It is an arithmetic number, because the mean of its divisors is an integer number (4179401226).

Almost surely, 2^{2208487680000} is an apocalyptic number.

2208487680000 is a gapful number since it is divisible by the number (20) 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 2208487680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015281471200).

2208487680000 is an abundant number, since it is smaller than the sum of its proper divisors (7822075262400).

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

2208487680000 is an equidigital number, since it uses as much as digits as its factorization.

2208487680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 2208487680000 in words is "two trillion, two hundred eight billion, four hundred eighty-seven million, six hundred eighty thousand".