2135328 has 96 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 623616.

The previous prime is 2135303. The next prime is 2135333. The reversal of 2135328 is 8235312.

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 (24).

It is a d-powerful number, because it can be written as 2¹⁴ + 1 + 3⁵ + 5² + 3¹³ + 2¹⁹ + 8² .

It is a junction number, because it is equal to n+sod(n) for n = 2135298 and 2135307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36163 + ... + 36221.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

2^2135328 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 2135328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2135328 is an abundant number, since it is smaller than the sum of its proper divisors (4215072).

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

2135328 is a wasteful number, since it uses less digits than its factorization.

2135328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 2135328 is about 1461.2761545991. The cubic root of 2135328 is about 128.7720268972.

The spelling of 2135328 in words is "two million, one hundred thirty-five thousand, three hundred twenty-eight".