2205240211000 has 256 divisors, whose sum is σ = 5427697766400. Its totient is φ = 837562176000.

The previous prime is 2205240210977. The next prime is 2205240211033. The reversal of 2205240211000 is 1120425022.

It is a super-2 number, since 2×2205240211000² (a number of 25 digits) contains 22 as substring.

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, 558711027 + ... + 558714973.

It is an arithmetic number, because the mean of its divisors is an integer number (21201944400).

Almost surely, 2^{2205240211000} is an apocalyptic number.

2205240211000 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 2205240211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713848883200).

2205240211000 is an abundant number, since it is smaller than the sum of its proper divisors (3222457555400).

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

2205240211000 is a wasteful number, since it uses less digits than its factorization.

2205240211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 2205240211000 its reverse (1120425022), we get a palindrome (2206360636022).

The spelling of 2205240211000 in words is "two trillion, two hundred five billion, two hundred forty million, two hundred eleven thousand".