2205243420240 has 480 divisors, whose sum is σ = 8448986551680. Its totient is φ = 473518338048.

The previous prime is 2205243420227. The next prime is 2205243420253. The reversal of 2205243420240 is 420243425022.

It is an interprime number because it is at equal distance from previous prime (2205243420227) and next prime (2205243420253).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2205243420198 and 2205243420207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12531099 + ... + 12705861.

It is an arithmetic number, because the mean of its divisors is an integer number (17602055316).

Almost surely, 2^{2205243420240} is an apocalyptic number.

2205243420240 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 2205243420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224493275840).

2205243420240 is an abundant number, since it is smaller than the sum of its proper divisors (6243743131440).

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

2205243420240 is a wasteful number, since it uses less digits than its factorization.

2205243420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174859 (or 174846 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 2205243420240 its reverse (420243425022), we get a palindrome (2625486845262).

The spelling of 2205243420240 in words is "two trillion, two hundred five billion, two hundred forty-three million, four hundred twenty thousand, two hundred forty".