2205643392 has 128 divisors (see below), whose sum is σ = 6533712000. Its totient is φ = 732506112.

The previous prime is 2205643381. The next prime is 2205643399. The reversal of 2205643392 is 2933465022.

It is a happy number.

2205643392 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 643 + 3 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (2205643399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080709 + ... + 1082747.

It is an arithmetic number, because the mean of its divisors is an integer number (51044625).

Almost surely, 2^2205643392 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 2205643392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266856000).

2205643392 is an abundant number, since it is smaller than the sum of its proper divisors (4328068608).

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

2205643392 is a wasteful number, since it uses less digits than its factorization.

2205643392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2205643392 is about 46964.2778290053. The cubic root of 2205643392 is about 1301.7025802415.

The spelling of 2205643392 in words is "two billion, two hundred five million, six hundred forty-three thousand, three hundred ninety-two".