2129064 has 128 divisors (see below), whose sum is σ = 6912000. Its totient is φ = 532224.

The previous prime is 2129051. The next prime is 2129069. The reversal of 2129064 is 4609212.

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 (2129069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73402 + ... + 73430.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

2^2129064 is an apocalyptic number.

2129064 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 2129064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456000).

2129064 is an abundant number, since it is smaller than the sum of its proper divisors (4782936).

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

2129064 is a wasteful number, since it uses less digits than its factorization.

2129064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2129064 is about 1459.1312483804. The cubic root of 2129064 is about 128.6459856810.

The spelling of 2129064 in words is "two million, one hundred twenty-nine thousand, sixty-four".