2535936 has 80 divisors (see below), whose sum is σ = 7332864. Its totient is φ = 774144.

The previous prime is 2535919. The next prime is 2535937. The reversal of 2535936 is 6395352.

It is a junction number, because it is equal to n+sod(n) for n = 2535897 and 2535906.

It is not an unprimeable number, because it can be changed into a prime (2535937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19905 + ... + 20031.

2^2535936 is an apocalyptic number.

2535936 is a gapful number since it is divisible by the number (26) 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 2535936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666432).

2535936 is an abundant number, since it is smaller than the sum of its proper divisors (4796928).

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

2535936 is a wasteful number, since it uses less digits than its factorization.

2535936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

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

The square root of 2535936 is about 1592.4622444504. The cubic root of 2535936 is about 136.3680916524.

The spelling of 2535936 in words is "two million, five hundred thirty-five thousand, nine hundred thirty-six".