2205302010912 has 2880 divisors, whose sum is σ = 9460521100800. Its totient is φ = 494538670080.

The previous prime is 2205302010817. The next prime is 2205302010949. The reversal of 2205302010912 is 2190102035022.

It is a happy number.

2205302010912 is a `hidden beast` number, since 2 + 2 + 0 + 530 + 20 + 109 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 27915215289 + ... + 27915215367.

It is an arithmetic number, because the mean of its divisors is an integer number (3284903160).

Almost surely, 2^{2205302010912} is an apocalyptic number.

2205302010912 is a gapful number since it is divisible by the number (22) 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 2205302010912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730260550400).

2205302010912 is an abundant number, since it is smaller than the sum of its proper divisors (7255219089888).

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

2205302010912 is a wasteful number, since it uses less digits than its factorization.

2205302010912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 2205302010912 its reverse (2190102035022), we get a palindrome (4395404045934).

The spelling of 2205302010912 in words is "two trillion, two hundred five billion, three hundred two million, ten thousand, nine hundred twelve".