2205604546560 has 960 divisors, whose sum is σ = 8217384215040. Its totient is φ = 567575838720.

The previous prime is 2205604546559. The next prime is 2205604546601. The reversal of 2205604546560 is 656454065022.

2205604546560 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 6 + 0 + 45 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2205604546560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6248171344 + ... + 6248171696.

It is an arithmetic number, because the mean of its divisors is an integer number (8559775224).

Almost surely, 2^{2205604546560} is an apocalyptic number.

2205604546560 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 2205604546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108692107520).

2205604546560 is an abundant number, since it is smaller than the sum of its proper divisors (6011779668480).

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

2205604546560 is an frugal number, since it uses more digits than its factorization.

2205604546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 2205604546560 in words is "two trillion, two hundred five billion, six hundred four million, five hundred forty-six thousand, five hundred sixty".