2205759648 has 48 divisors (see below), whose sum is σ = 5924784096. Its totient is φ = 718152960.

The previous prime is 2205759641. The next prime is 2205759649. The reversal of 2205759648 is 8469575022.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2205759597 and 2205759606.

It is not an unprimeable number, because it can be changed into a prime (2205759641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263043 + ... + 271298.

It is an arithmetic number, because the mean of its divisors is an integer number (123433002).

Almost surely, 2^2205759648 is an apocalyptic number.

It is an amenable number.

2205759648 is an abundant number, since it is smaller than the sum of its proper divisors (3719024448).

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

2205759648 is a wasteful number, since it uses less digits than its factorization.

2205759648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534397 (or 534389 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 2205759648 is about 46965.5155193680. The cubic root of 2205759648 is about 1301.7254500728.

The spelling of 2205759648 in words is "two billion, two hundred five million, seven hundred fifty-nine thousand, six hundred forty-eight".