2355936 has 96 divisors (see below), whose sum is σ = 7112448. Its totient is φ = 675840.

The previous prime is 2355917. The next prime is 2355949. The reversal of 2355936 is 6395532.

2355936 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2355897 and 2355906.

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 15 ways as a sum of consecutive naturals, for example, 24240 + ... + 24336.

It is an arithmetic number, because the mean of its divisors is an integer number (74088).

2^2355936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2355936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556224).

2355936 is an abundant number, since it is smaller than the sum of its proper divisors (4756512).

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

2355936 is a wasteful number, since it uses less digits than its factorization.

2355936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 24300, while the sum is 33.

The square root of 2355936 is about 1534.9058603054. The cubic root of 2355936 is about 133.0621376597.

The spelling of 2355936 in words is "two million, three hundred fifty-five thousand, nine hundred thirty-six".