2664000 has 168 divisors, whose sum is σ = 9787128. Its totient is φ = 691200.

The previous prime is 2663993. The next prime is 2664001. The reversal of 2664000 is 4662.

2664000 is a `hidden beast` number, since 2 + 664 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 2663424 = 24^2 + 1632^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2664001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71982 + ... + 72018.

2^2664000 is an apocalyptic number.

2664000 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 2664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893564).

2664000 is an abundant number, since it is smaller than the sum of its proper divisors (7123128).

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

2664000 is a wasteful number, since it uses less digits than its factorization.

2664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2664000 is about 1632.1764610483. The cubic root of 2664000 is about 138.6260153686.

Adding to 2664000 its reverse (4662), we get a palindrome (2668662).

The spelling of 2664000 in words is "two million, six hundred sixty-four thousand".