2255608320 has 160 divisors (see below), whose sum is σ = 8241222528. Its totient is φ = 515555328.

The previous prime is 2255608307. The next prime is 2255608343. The reversal of 2255608320 is 238065522.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32782 + ... + 74738.

Almost surely, 2^2255608320 is an apocalyptic number.

2255608320 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 2255608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120611264).

2255608320 is an abundant number, since it is smaller than the sum of its proper divisors (5985614208).

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

2255608320 is an equidigital number, since it uses as much as digits as its factorization.

2255608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41990 (or 41974 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2255608320 is about 47493.2449933672. The cubic root of 2255608320 is about 1311.4585312735.

The spelling of 2255608320 in words is "two billion, two hundred fifty-five million, six hundred eight thousand, three hundred twenty".