2208640560000 has 640 divisors, whose sum is σ = 8819411884800. Its totient is φ = 478255104000.

The previous prime is 2208640559969. The next prime is 2208640560037. The reversal of 2208640560000 is 650468022.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2208640560000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 31885404 + ... + 31954596.

It is an arithmetic number, because the mean of its divisors is an integer number (13780331070).

Almost surely, 2^{2208640560000} is an apocalyptic number.

2208640560000 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 2208640560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409705942400).

2208640560000 is an abundant number, since it is smaller than the sum of its proper divisors (6610771324800).

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

2208640560000 is an equidigital number, since it uses as much as digits as its factorization.

2208640560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69256 (or 69229 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 2208640560000 in words is "two trillion, two hundred eight billion, six hundred forty million, five hundred sixty thousand".