2205954432 has 128 divisors (see below), whose sum is σ = 7102627200. Its totient is φ = 668459520.

The previous prime is 2205954419. The next prime is 2205954437. The reversal of 2205954432 is 2344595022.

2205954432 is a `hidden beast` number, since 2 + 20 + 595 + 4 + 43 + 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205954437) 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, 9003 + ... + 67029.

It is an arithmetic number, because the mean of its divisors is an integer number (55489275).

Almost surely, 2^2205954432 is an apocalyptic number.

2205954432 is a gapful number since it is divisible by the number (22) 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 2205954432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551313600).

2205954432 is an abundant number, since it is smaller than the sum of its proper divisors (4896672768).

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

2205954432 is a wasteful number, since it uses less digits than its factorization.

2205954432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58061 (or 58043 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2205954432 is about 46967.5891652957. The cubic root of 2205954432 is about 1301.7637660980.

The spelling of 2205954432 in words is "two billion, two hundred five million, nine hundred fifty-four thousand, four hundred thirty-two".