2255120 has 40 divisors (see below), whose sum is σ = 5993664. Its totient is φ = 772992.

The previous prime is 2255119. The next prime is 2255131. The reversal of 2255120 is 215522.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1454 + ... + 2573.

2^2255120 is an apocalyptic number.

2255120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2255120 is an abundant number, since it is smaller than the sum of its proper divisors (3738544).

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

2255120 is a wasteful number, since it uses less digits than its factorization.

2255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 2255120 is about 1501.7056968661. The cubic root of 2255120 is about 131.1363884574.

The spelling of 2255120 in words is "two million, two hundred fifty-five thousand, one hundred twenty".