2305152 has 128 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 709632.

The previous prime is 2305133. The next prime is 2305153. The reversal of 2305152 is 2515032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305153) 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 15 ways as a sum of consecutive naturals, for example, 79474 + ... + 79502.

It is an arithmetic number, because the mean of its divisors is an integer number (57375).

2^2305152 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 2305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2305152 is an abundant number, since it is smaller than the sum of its proper divisors (5038848).

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

2305152 is a wasteful number, since it uses less digits than its factorization.

2305152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 57 counting only the distinct ones).

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

The square root of 2305152 is about 1518.2727027777. The cubic root of 2305152 is about 132.0990991363.

The spelling of 2305152 in words is "two million, three hundred five thousand, one hundred fifty-two".