2255432400 has 180 divisors, whose sum is σ = 8429226988. Its totient is φ = 555171840.

The previous prime is 2255432351. The next prime is 2255432401. The reversal of 2255432400 is 42345522.

It is a happy number.

2255432400 is a `hidden beast` number, since 2 + 255 + 4 + 3 + 2 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 95413824 + 2160018576 = 9768^2 + 46476^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255432401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22704 + ... + 70896.

Almost surely, 2^2255432400 is an apocalyptic number.

2255432400 is a gapful number since it is divisible by the number (20) 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 2255432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214613494).

2255432400 is an abundant number, since it is smaller than the sum of its proper divisors (6173794588).

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

2255432400 is a wasteful number, since it uses less digits than its factorization.

2255432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48230 (or 48216 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2255432400 is about 47491.3929043990. The cubic root of 2255432400 is about 1311.4244358470.

Adding to 2255432400 its reverse (42345522), we get a palindrome (2297777922).

The spelling of 2255432400 in words is "two billion, two hundred fifty-five million, four hundred thirty-two thousand, four hundred".