2146144 has 96 divisors (see below), whose sum is σ = 5757696. Its totient is φ = 760320.

The previous prime is 2146141. The next prime is 2146159. The reversal of 2146144 is 4416412.

2146144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31999 + ... + 32065.

It is an arithmetic number, because the mean of its divisors is an integer number (59976).

2^2146144 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 2146144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878848).

2146144 is an abundant number, since it is smaller than the sum of its proper divisors (3611552).

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

2146144 is a wasteful number, since it uses less digits than its factorization.

2146144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 2146144 is about 1464.9723546880. The cubic root of 2146144 is about 128.9890822641.

The spelling of 2146144 in words is "two million, one hundred forty-six thousand, one hundred forty-four".