2000264 has 32 divisors (see below), whose sum is σ = 4475520. Its totient is φ = 819456.

The previous prime is 2000261. The next prime is 2000269. The reversal of 2000264 is 4620002.

It is a Harshad number since it is a multiple of its sum of digits (14).

2000264 is a modest number, since divided by 264 gives 200 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2000261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512 + ... + 2064.

It is an arithmetic number, because the mean of its divisors is an integer number (139860).

2^2000264 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 2000264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237760).

2000264 is an abundant number, since it is smaller than the sum of its proper divisors (2475256).

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

2000264 is a wasteful number, since it uses less digits than its factorization.

2000264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2000264 is about 1414.3068973883. The cubic root of 2000264 is about 125.9976483982.

Adding to 2000264 its reverse (4620002), we get a palindrome (6620266).

The spelling of 2000264 in words is "two million, two hundred sixty-four", and thus it is an aban number.