2205211210240 has 80 divisors (see below), whose sum is σ = 5299385192640. Its totient is φ = 880074731520.

The previous prime is 2205211210217. The next prime is 2205211210261. The reversal of 2205211210240 is 420121125022.

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 142735 + ... + 2104945.

It is an arithmetic number, because the mean of its divisors is an integer number (66242314908).

Almost surely, 2^{2205211210240} is an apocalyptic number.

2205211210240 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 2205211210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649692596320).

2205211210240 is an abundant number, since it is smaller than the sum of its proper divisors (3094173982400).

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

2205211210240 is an equidigital number, since it uses as much as digits as its factorization.

2205211210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962673 (or 1962657 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 2205211210240 its reverse (420121125022), we get a palindrome (2625332335262).

The spelling of 2205211210240 in words is "two trillion, two hundred five billion, two hundred eleven million, two hundred ten thousand, two hundred forty".