2141568 has 144 divisors (see below), whose sum is σ = 7279740. Its totient is φ = 599040.

The previous prime is 2141549. The next prime is 2141569. The reversal of 2141568 is 8651412.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141569) 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 17 ways as a sum of consecutive naturals, for example, 164730 + ... + 164742.

2^2141568 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 2141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639870).

2141568 is an abundant number, since it is smaller than the sum of its proper divisors (5138172).

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

2141568 is a wasteful number, since it uses less digits than its factorization.

2141568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 29 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 2141568 is about 1463.4097170649. The cubic root of 2141568 is about 128.8973403539.

The spelling of 2141568 in words is "two million, one hundred forty-one thousand, five hundred sixty-eight".