2135744 has 56 divisors (see below), whose sum is σ = 4864608. Its totient is φ = 921600.

The previous prime is 2135743. The next prime is 2135753. The reversal of 2135744 is 4475312.

2135744 is nontrivially palindromic in base 12.

2135744 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2135744² = 9122804867072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 2³ + 1 + 3¹¹ + 5⁹ + 7³ + 4⁵ + 4⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135743) 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, 14069 + ... + 14219.

It is an arithmetic number, because the mean of its divisors is an integer number (86868).

2^2135744 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 2135744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432304).

2135744 is an abundant number, since it is smaller than the sum of its proper divisors (2728864).

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

2135744 is a wasteful number, since it uses less digits than its factorization.

2135744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 2135744 is about 1461.4184890031. The cubic root of 2135744 is about 128.7803887171.

The spelling of 2135744 in words is "two million, one hundred thirty-five thousand, seven hundred forty-four".