2255711120 has 40 divisors (see below), whose sum is σ = 5647956216. Its totient is φ = 832877568.

The previous prime is 2255711083. The next prime is 2255711203. The reversal of 2255711120 is 211175522.

It can be written as a sum of positive squares in 4 ways, for example, as 9709456 + 2246001664 = 3116^2 + 47392^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2255711120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083437 + ... + 1085516.

Almost surely, 2^2255711120 is an apocalyptic number.

2255711120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2255711120 is an abundant number, since it is smaller than the sum of its proper divisors (3392245096).

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

2255711120 is a wasteful number, since it uses less digits than its factorization.

2255711120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168979 (or 2168973 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 2255711120 is about 47494.3272402084. The cubic root of 2255711120 is about 1311.4784543378.

Adding to 2255711120 its reverse (211175522), we get a palindrome (2466886642).

The spelling of 2255711120 in words is "two billion, two hundred fifty-five million, seven hundred eleven thousand, one hundred twenty".