2255138800 has 60 divisors (see below), whose sum is σ = 5459456376. Its totient is φ = 895148800.

The previous prime is 2255138777. The next prime is 2255138813. The reversal of 2255138800 is 88315522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30882 + ... + 73918.

Almost surely, 2^2255138800 is an apocalyptic number.

2255138800 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 2255138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729728188).

2255138800 is an abundant number, since it is smaller than the sum of its proper divisors (3204317576).

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

2255138800 is a wasteful number, since it uses less digits than its factorization.

2255138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43186 (or 43175 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 2255138800 is about 47488.3017173704. The cubic root of 2255138800 is about 1311.3675286625.

The spelling of 2255138800 in words is "two billion, two hundred fifty-five million, one hundred thirty-eight thousand, eight hundred".