2255358672 has 180 divisors, whose sum is σ = 7729282080. Its totient is φ = 610436736.

The previous prime is 2255358667. The next prime is 2255358713. The reversal of 2255358672 is 2768535522.

2255358672 is a `hidden beast` number, since 22 + 553 + 5 + 8 + 6 + 72 = 666.

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 35 ways as a sum of consecutive naturals, for example, 125653 + ... + 142475.

It is an arithmetic number, because the mean of its divisors is an integer number (42940456).

Almost surely, 2^2255358672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255358672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864641040).

2255358672 is an abundant number, since it is smaller than the sum of its proper divisors (5473923408).

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

2255358672 is a wasteful number, since it uses less digits than its factorization.

2255358672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16870 (or 16854 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 2255358672 is about 47490.6166731913. The cubic root of 2255358672 is about 1311.4101459405.

It can be divided in two parts, 22553 and 58672, that added together give a square (81225 = 285²).

The spelling of 2255358672 in words is "two billion, two hundred fifty-five million, three hundred fifty-eight thousand, six hundred seventy-two".