2255225406 has 128 divisors (see below), whose sum is σ = 5901880320. Its totient is φ = 558876672.

The previous prime is 2255225383. The next prime is 2255225431. The reversal of 2255225406 is 6045225522.

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 63 ways as a sum of consecutive naturals, for example, 499696 + ... + 504188.

It is an arithmetic number, because the mean of its divisors is an integer number (46108440).

Almost surely, 2^2255225406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255225406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950940160).

2255225406 is an abundant number, since it is smaller than the sum of its proper divisors (3646654914).

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

2255225406 is a wasteful number, since it uses less digits than its factorization.

2255225406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578.

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 2255225406 is about 47489.2135752952. The cubic root of 2255225406 is about 1311.3843156326.

The spelling of 2255225406 in words is "two billion, two hundred fifty-five million, two hundred twenty-five thousand, four hundred six".