2124192 has 96 divisors (see below), whose sum is σ = 6652800. Its totient is φ = 580608.

The previous prime is 2124191. The next prime is 2124197. The reversal of 2124192 is 2914212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2124191) 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, 19434 + ... + 19542.

It is an arithmetic number, because the mean of its divisors is an integer number (69300).

2^2124192 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 2124192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400).

2124192 is an abundant number, since it is smaller than the sum of its proper divisors (4528608).

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

2124192 is a wasteful number, since it uses less digits than its factorization.

2124192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 2124192 is about 1457.4608056480. The cubic root of 2124192 is about 128.5477826003.

The spelling of 2124192 in words is "two million, one hundred twenty-four thousand, one hundred ninety-two".