2205485760 has 112 divisors (see below), whose sum is σ = 7047500256. Its totient is φ = 584343552.

The previous prime is 2205485759. The next prime is 2205485773. The reversal of 2205485760 is 675845022.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143404 + ... + 158036.

Almost surely, 2^2205485760 is an apocalyptic number.

2205485760 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 2205485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523750128).

2205485760 is an abundant number, since it is smaller than the sum of its proper divisors (4842014496).

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

2205485760 is a wasteful number, since it uses less digits than its factorization.

2205485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14810 (or 14800 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 2205485760 is about 46962.5995873312. The cubic root of 2205485760 is about 1301.6715696575.

The spelling of 2205485760 in words is "two billion, two hundred five million, four hundred eighty-five thousand, seven hundred sixty".