2202705648 has 240 divisors, whose sum is σ = 7421712480. Its totient is φ = 600883200.

The previous prime is 2202705641. The next prime is 2202705671. The reversal of 2202705648 is 8465072022.

2202705648 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 7 + 0 + 5 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202705641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842968 + ... + 845576.

It is an arithmetic number, because the mean of its divisors is an integer number (30923802).

Almost surely, 2^2202705648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202705648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710856240).

2202705648 is an abundant number, since it is smaller than the sum of its proper divisors (5219006832).

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

2202705648 is a wasteful number, since it uses less digits than its factorization.

2202705648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2202705648 is about 46932.9910404185. The cubic root of 2202705648 is about 1301.1244015564.

The spelling of 2202705648 in words is "two billion, two hundred two million, seven hundred five thousand, six hundred forty-eight".