2149152 has 48 divisors (see below), whose sum is σ = 5749632. Its totient is φ = 702720.

The previous prime is 2149151. The next prime is 2149171. The reversal of 2149152 is 2519412.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2149151) 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 7 ways as a sum of consecutive naturals, for example, 5673 + ... + 6039.

It is an arithmetic number, because the mean of its divisors is an integer number (119784).

2^2149152 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 2149152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874816).

2149152 is an abundant number, since it is smaller than the sum of its proper divisors (3600480).

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

2149152 is a wasteful number, since it uses less digits than its factorization.

2149152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 2149152 is about 1465.9986357429. The cubic root of 2149152 is about 129.0493171209.

The spelling of 2149152 in words is "two million, one hundred forty-nine thousand, one hundred fifty-two".