2535120 has 120 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 578304.

The previous prime is 2535109. The next prime is 2535121. The reversal of 2535120 is 215352.

It is a happy number.

2535120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 2535093 and 2535102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4789 + ... + 5291.

2^2535120 is an apocalyptic number.

2535120 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 2535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

2535120 is an abundant number, since it is smaller than the sum of its proper divisors (7214256).

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

2535120 is a wasteful number, since it uses less digits than its factorization.

2535120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 520 counting only the distinct ones).

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

The square root of 2535120 is about 1592.2060168207. The cubic root of 2535120 is about 136.3534634835.

The spelling of 2535120 in words is "two million, five hundred thirty-five thousand, one hundred twenty".