2132064 has 72 divisors (see below), whose sum is σ = 6624072. Its totient is φ = 645120.

The previous prime is 2132063. The next prime is 2132107. The reversal of 2132064 is 4602312.

It is a happy number.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2832 + ... + 3504.

It is an arithmetic number, because the mean of its divisors is an integer number (92001).

2^2132064 is an apocalyptic number.

2132064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312036).

2132064 is an abundant number, since it is smaller than the sum of its proper divisors (4492008).

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

2132064 is a wasteful number, since it uses less digits than its factorization.

2132064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2132064 is about 1460.1588954631. The cubic root of 2132064 is about 128.7063810515.

Adding to 2132064 its reverse (4602312), we get a palindrome (6734376).

The spelling of 2132064 in words is "two million, one hundred thirty-two thousand, sixty-four".