2353152 has 48 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 782336.

The previous prime is 2353129. The next prime is 2353159. The reversal of 2353152 is 2513532.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353159) 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 3 ways as a sum of consecutive naturals, for example, 5953 + ... + 6335.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

2^2353152 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 2353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2353152 is an abundant number, since it is smaller than the sum of its proper divisors (3936768).

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

2353152 is an equidigital number, since it uses as much as digits as its factorization.

2353152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 2353152 is about 1533.9986962185. The cubic root of 2353152 is about 133.0097040049.

Adding to 2353152 its reverse (2513532), we get a palindrome (4866684).

The spelling of 2353152 in words is "two million, three hundred fifty-three thousand, one hundred fifty-two".