2064000 has 128 divisors (see below), whose sum is σ = 7001280. Its totient is φ = 537600.

The previous prime is 2063993. The next prime is 2064031. The reversal of 2064000 is 4602.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47979 + ... + 48021.

2^2064000 is an apocalyptic number.

2064000 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 2064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500640).

2064000 is an abundant number, since it is smaller than the sum of its proper divisors (4937280).

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

2064000 is an equidigital number, since it uses as much as digits as its factorization.

2064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2064000 is about 1436.6627996854. The cubic root of 2064000 is about 127.3219352083.

Adding to 2064000 its reverse (4602), we get a palindrome (2068602).

The spelling of 2064000 in words is "two million, sixty-four thousand", and thus it is an eban number.