2535920 has 20 divisors (see below), whose sum is σ = 5896200. Its totient is φ = 1014336.

The previous prime is 2535919. The next prime is 2535937. The reversal of 2535920 is 295352.

2535920 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 (20).

It is a self number, because there is not a number n which added to its sum of digits gives 2535920.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 15770 + ... + 15929.

It is an arithmetic number, because the mean of its divisors is an integer number (294810).

2^2535920 is an apocalyptic number.

2535920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2535920 is an abundant number, since it is smaller than the sum of its proper divisors (3360280).

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

2535920 is a wasteful number, since it uses less digits than its factorization.

2535920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31712 (or 31706 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 2535920 is about 1592.4572207755. The cubic root of 2535920 is about 136.3678048557.

The spelling of 2535920 in words is "two million, five hundred thirty-five thousand, nine hundred twenty".