2128000 has 128 divisors (see below), whose sum is σ = 6364800. Its totient is φ = 691200.

The previous prime is 2127997. The next prime is 2128001. The reversal of 2128000 is 8212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128001) 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, 111991 + ... + 112009.

It is an arithmetic number, because the mean of its divisors is an integer number (49725).

2^2128000 is an apocalyptic number.

2128000 is a gapful number since it is divisible by the number (20) 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 2128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182400).

2128000 is an abundant number, since it is smaller than the sum of its proper divisors (4236800).

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

2128000 is an equidigital number, since it uses as much as digits as its factorization.

2128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2128000 is about 1458.7666023048. The cubic root of 2128000 is about 128.6245518276.

The spelling of 2128000 in words is "two million, one hundred twenty-eight thousand".