2136024 has 128 divisors (see below), whose sum is σ = 6912000. Its totient is φ = 604800.

The previous prime is 2136023. The next prime is 2136061. The reversal of 2136024 is 4206312.

It is a happy number.

2136024 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 = 2135988 and 2136006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68889 + ... + 68919.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

2^2136024 is an apocalyptic number.

2136024 is a gapful number since it is divisible by the number (24) 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 2136024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456000).

2136024 is an abundant number, since it is smaller than the sum of its proper divisors (4775976).

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

2136024 is a wasteful number, since it uses less digits than its factorization.

2136024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2136024 is about 1461.5142832008. The cubic root of 2136024 is about 128.7860162538.

Adding to 2136024 its product of nonzero digits (288), we get a palindrome (2136312).

The spelling of 2136024 in words is "two million, one hundred thirty-six thousand, twenty-four".