2205646464 has 192 divisors, whose sum is σ = 7069775040. Its totient is φ = 596754432.

The previous prime is 2205646459. The next prime is 2205646477. The reversal of 2205646464 is 4646465022.

2205646464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 969232 + ... + 971504.

It is an arithmetic number, because the mean of its divisors is an integer number (36821745).

Almost surely, 2^2205646464 is an apocalyptic number.

2205646464 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 2205646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534887520).

2205646464 is an abundant number, since it is smaller than the sum of its proper divisors (4864128576).

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

2205646464 is a wasteful number, since it uses less digits than its factorization.

2205646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 2205646464 is about 46964.3105347028. The cubic root of 2205646464 is about 1301.7031845744.

The spelling of 2205646464 in words is "two billion, two hundred five million, six hundred forty-six thousand, four hundred sixty-four".