2255820960 has 96 divisors (see below), whose sum is σ = 7112871360. Its totient is φ = 600956928.

The previous prime is 2255820953. The next prime is 2255820991. The reversal of 2255820960 is 690285522.

It is a tau number, because it is divible by the number of its divisors (96).

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, 710256 + ... + 713424.

It is an arithmetic number, because the mean of its divisors is an integer number (74092410).

Almost surely, 2^2255820960 is an apocalyptic number.

2255820960 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 2255820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556435680).

2255820960 is an abundant number, since it is smaller than the sum of its proper divisors (4857050400).

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

2255820960 is a wasteful number, since it uses less digits than its factorization.

2255820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 2255820960 is about 47495.4835747569. The cubic root of 2255820960 is about 1311.4997411143.

The spelling of 2255820960 in words is "two billion, two hundred fifty-five million, eight hundred twenty thousand, nine hundred sixty".