2205620387712 has 192 divisors, whose sum is σ = 7261803993600. Its totient is φ = 629464753152.

The previous prime is 2205620387701. The next prime is 2205620387717. The reversal of 2205620387712 is 2177830265022.

2205620387712 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 620 + 3 + 8 + 7 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2205620387712² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205620387717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6998589 + ... + 7306947.

It is an arithmetic number, because the mean of its divisors is an integer number (37821895800).

Almost surely, 2^{2205620387712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205620387712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630901996800).

2205620387712 is an abundant number, since it is smaller than the sum of its proper divisors (5056183605888).

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

2205620387712 is a wasteful number, since it uses less digits than its factorization.

2205620387712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309273 (or 309258 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2205620387712 in words is "two trillion, two hundred five billion, six hundred twenty million, three hundred eighty-seven thousand, seven hundred twelve".