2255344000 has 256 divisors, whose sum is σ = 6905808000. Its totient is φ = 713318400.

The previous prime is 2255343989. The next prime is 2255344019. The reversal of 2255344000 is 4435522.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1455226 + ... + 1456774.

Almost surely, 2^2255344000 is an apocalyptic number.

2255344000 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 2255344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452904000).

2255344000 is an abundant number, since it is smaller than the sum of its proper divisors (4650464000).

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

2255344000 is a wasteful number, since it uses less digits than its factorization.

2255344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2255344000 is about 47490.4622003198. The cubic root of 2255344000 is about 1311.4073021871.

Adding to 2255344000 its reverse (4435522), we get a palindrome (2259779522).

The spelling of 2255344000 in words is "two billion, two hundred fifty-five million, three hundred forty-four thousand".