2255200320 has 224 divisors, whose sum is σ = 7416442368. Its totient is φ = 580165632.

The previous prime is 2255200319. The next prime is 2255200327. The reversal of 2255200320 is 230025522.

It is not an unprimeable number, because it can be changed into a prime (2255200327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6144777 + ... + 6145143.

Almost surely, 2^2255200320 is an apocalyptic number.

2255200320 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 2255200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708221184).

2255200320 is an abundant number, since it is smaller than the sum of its proper divisors (5161242048).

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

2255200320 is a wasteful number, since it uses less digits than its factorization.

2255200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2255200320 is about 47488.9494514250. The cubic root of 2255200320 is about 1311.3794532200.

Adding to 2255200320 its reverse (230025522), we get a palindrome (2485225842).

The spelling of 2255200320 in words is "two billion, two hundred fifty-five million, two hundred thousand, three hundred twenty".