2353872 has 80 divisors (see below), whose sum is σ = 6696000. Its totient is φ = 709632.

The previous prime is 2353867. The next prime is 2353873. The reversal of 2353872 is 2783532.

2353872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2⁹ + 3⁴ + 5⁷ + 3¹¹ + 8³ + 7³ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353873) 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, 26404 + ... + 26492.

It is an arithmetic number, because the mean of its divisors is an integer number (83700).

2^2353872 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 2353872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348000).

2353872 is an abundant number, since it is smaller than the sum of its proper divisors (4342128).

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

2353872 is a wasteful number, since it uses less digits than its factorization.

2353872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 2353872 is about 1534.2333590429. The cubic root of 2353872 is about 133.0232683958.

The spelling of 2353872 in words is "two million, three hundred fifty-three thousand, eight hundred seventy-two".