2205315215344 has 120 divisors (see below), whose sum is σ = 4652363979648. Its totient is φ = 1011888046080.

The previous prime is 2205315215339. The next prime is 2205315215357. The reversal of 2205315215344 is 4435125135022.

It is a happy number.

2205315215344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600410692 + ... + 600414364.

Almost surely, 2^{2205315215344} 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 2205315215344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326181989824).

2205315215344 is an abundant number, since it is smaller than the sum of its proper divisors (2447048764304).

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

2205315215344 is a wasteful number, since it uses less digits than its factorization.

2205315215344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 2205315215344 in words is "two trillion, two hundred five billion, three hundred fifteen million, two hundred fifteen thousand, three hundred forty-four".