2205005064 has 48 divisors (see below), whose sum is σ = 5604590160. Its totient is φ = 722923200.

The previous prime is 2205005063. The next prime is 2205005069. The reversal of 2205005064 is 4605005022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2205005063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76959 + ... + 101649.

It is an arithmetic number, because the mean of its divisors is an integer number (116762295).

Almost surely, 2^2205005064 is an apocalyptic number.

2205005064 is a gapful number since it is divisible by the number (24) 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 2205005064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802295080).

2205005064 is an abundant number, since it is smaller than the sum of its proper divisors (3399585096).

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

2205005064 is a wasteful number, since it uses less digits than its factorization.

2205005064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24822 (or 24757 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2205005064 is about 46957.4814486467. The cubic root of 2205005064 is about 1301.5769943048.

The spelling of 2205005064 in words is "two billion, two hundred five million, five thousand, sixty-four".