2000964 has 72 divisors (see below), whose sum is σ = 5630688. Its totient is φ = 551040.

The previous prime is 2000963. The next prime is 2000969. The reversal of 2000964 is 4690002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2000964.

It is not an unprimeable number, because it can be changed into a prime (2000963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24067 + ... + 24149.

It is an arithmetic number, because the mean of its divisors is an integer number (78204).

2^2000964 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 2000964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815344).

2000964 is an abundant number, since it is smaller than the sum of its proper divisors (3629724).

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

2000964 is a wasteful number, since it uses less digits than its factorization.

2000964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2000964 is about 1414.5543467821. The cubic root of 2000964 is about 126.0123444696.

Adding to 2000964 its reverse (4690002), we get a palindrome (6690966).

The spelling of 2000964 in words is "two million, nine hundred sixty-four", and thus it is an aban number.