2205630580608 has 2304 divisors, whose sum is σ = 8993886720000. Its totient is φ = 533311672320.

The previous prime is 2205630580607. The next prime is 2205630580633. The reversal of 2205630580608 is 8060850365022.

2205630580608 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 6 + 3 + 0 + 580 + 60 + 8 = 666.

It is a super-2 number, since 2×2205630580608² (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 (2205630580607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 71149373553 + ... + 71149373583.

Almost surely, 2^{2205630580608} is an apocalyptic number.

2205630580608 is a gapful number since it is divisible by the number (28) 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 2205630580608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496943360000).

2205630580608 is an abundant number, since it is smaller than the sum of its proper divisors (6788256139392).

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

2205630580608 is an frugal number, since it uses more digits than its factorization.

2205630580608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2205630580608 in words is "two trillion, two hundred five billion, six hundred thirty million, five hundred eighty thousand, six hundred eight".