2255641200 has 180 divisors, whose sum is σ = 7923060600. Its totient is φ = 594178560.

The previous prime is 2255641147. The next prime is 2255641217. The reversal of 2255641200 is 21465522.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 295026 + ... + 302574.

Almost surely, 2^2255641200 is an apocalyptic number.

2255641200 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 2255641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961530300).

2255641200 is an abundant number, since it is smaller than the sum of its proper divisors (5667419400).

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

2255641200 is a wasteful number, since it uses less digits than its factorization.

2255641200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7656 (or 7642 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2255641200 is about 47493.5911465958. The cubic root of 2255641200 is about 1311.4649036190.

The spelling of 2255641200 in words is "two billion, two hundred fifty-five million, six hundred forty-one thousand, two hundred".