2205141133020 has 192 divisors, whose sum is σ = 7119062286336. Its totient is φ = 499569557760.

The previous prime is 2205141133003. The next prime is 2205141133087. The reversal of 2205141133020 is 203311415022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45477309 + ... + 45525771.

It is an arithmetic number, because the mean of its divisors is an integer number (37078449408).

Almost surely, 2^{2205141133020} is an apocalyptic number.

2205141133020 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 2205141133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559531143168).

2205141133020 is an abundant number, since it is smaller than the sum of its proper divisors (4913921153316).

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

2205141133020 is a wasteful number, since it uses less digits than its factorization.

2205141133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49440 (or 49438 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 2205141133020 its reverse (203311415022), we get a palindrome (2408452548042).

The spelling of 2205141133020 in words is "two trillion, two hundred five billion, one hundred forty-one million, one hundred thirty-three thousand, twenty".