2255502400 has 84 divisors (see below), whose sum is σ = 5587784100. Its totient is φ = 896051200.

The previous prime is 2255502391. The next prime is 2255502401. The reversal of 2255502400 is 42055522.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 114404416 + 2141097984 = 10696^2 + 46272^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255502401) 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 11 ways as a sum of consecutive naturals, for example, 233670 + ... + 243130.

Almost surely, 2^2255502400 is an apocalyptic number.

2255502400 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 2255502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793892050).

2255502400 is an abundant number, since it is smaller than the sum of its proper divisors (3332281700).

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

2255502400 is a wasteful number, since it uses less digits than its factorization.

2255502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9632 (or 9617 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 2255502400 is about 47492.1298743276. The cubic root of 2255502400 is about 1311.4380029071.

Adding to 2255502400 its reverse (42055522), we get a palindrome (2297557922).

The spelling of 2255502400 in words is "two billion, two hundred fifty-five million, five hundred two thousand, four hundred".