2035152 has 80 divisors (see below), whose sum is σ = 6686080. Its totient is φ = 580608.

The previous prime is 2035151. The next prime is 2035169. The reversal of 2035152 is 2515302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2¹⁴ + 0 + 3⁴ + 5² + 1 + 5⁹ + 2¹⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2035151) by changing a digit.

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, 2688 + ... + 3360.

It is an arithmetic number, because the mean of its divisors is an integer number (83576).

2^2035152 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 2035152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343040).

2035152 is an abundant number, since it is smaller than the sum of its proper divisors (4650928).

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

2035152 is a wasteful number, since it uses less digits than its factorization.

2035152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2035152 is about 1426.5875367463. The cubic root of 2035152 is about 126.7259679237.

It can be divided in two parts, 2035 and 152, that added together give a 7-th power (2187 = 3⁷).

The spelling of 2035152 in words is "two million, thirty-five thousand, one hundred fifty-two".