2355540 has 96 divisors (see below), whose sum is σ = 7451136. Its totient is φ = 551040.

The previous prime is 2355539. The next prime is 2355557. The reversal of 2355540 is 455532.

2355540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2355540.

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 31 ways as a sum of consecutive naturals, for example, 28339 + ... + 28421.

It is an arithmetic number, because the mean of its divisors is an integer number (77616).

2^2355540 is an apocalyptic number.

2355540 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 2355540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725568).

2355540 is an abundant number, since it is smaller than the sum of its proper divisors (5095596).

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

2355540 is a wasteful number, since it uses less digits than its factorization.

2355540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 2355540 is about 1534.7768567450. The cubic root of 2355540 is about 133.0546819451.

It can be divided in two parts, 235 and 5540, that added together give a palindrome (5775).

The spelling of 2355540 in words is "two million, three hundred fifty-five thousand, five hundred forty".