2355120 has 60 divisors (see below), whose sum is σ = 7911696. Its totient is φ = 627840.

The previous prime is 2355113. The next prime is 2355121. The reversal of 2355120 is 215532.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2355093 and 2355102.

It is not an unprimeable number, because it can be changed into a prime (2355121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 916 + ... + 2355.

2^2355120 is an apocalyptic number.

2355120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2355120 is an abundant number, since it is smaller than the sum of its proper divisors (5556576).

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

2355120 is a wasteful number, since it uses less digits than its factorization.

2355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2355120 is about 1534.6400229370. The cubic root of 2355120 is about 133.0467734559.

The spelling of 2355120 in words is "two million, three hundred fifty-five thousand, one hundred twenty".