2153952 has 72 divisors (see below), whose sum is σ = 6375096. Its totient is φ = 715392.

The previous prime is 2153939. The next prime is 2153953. The reversal of 2153952 is 2593512.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7638 + ... + 7914.

It is an arithmetic number, because the mean of its divisors is an integer number (88543).

2^2153952 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 2153952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187548).

2153952 is an abundant number, since it is smaller than the sum of its proper divisors (4221144).

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

2153952 is an equidigital number, since it uses as much as digits as its factorization.

2153952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 2153952 is about 1467.6348319660. The cubic root of 2153952 is about 129.1453202787.

The spelling of 2153952 in words is "two million, one hundred fifty-three thousand, nine hundred fifty-two".