2205311642646 has 96 divisors (see below), whose sum is σ = 5172554080512. Its totient is φ = 624968406720.

The previous prime is 2205311642603. The next prime is 2205311642647. The reversal of 2205311642646 is 6462461135022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2205311642598 and 2205311642607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205311642647) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22880676 + ... + 22976856.

It is an arithmetic number, because the mean of its divisors is an integer number (53880771672).

Almost surely, 2^{2205311642646} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205311642646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586277040256).

2205311642646 is an abundant number, since it is smaller than the sum of its proper divisors (2967242437866).

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

2205311642646 is a wasteful number, since it uses less digits than its factorization.

2205311642646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96834 (or 96827 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 2205311642646 its reverse (6462461135022), we get a palindrome (8667772777668).

The spelling of 2205311642646 in words is "two trillion, two hundred five billion, three hundred eleven million, six hundred forty-two thousand, six hundred forty-six".