2664288 has 108 divisors (see below), whose sum is σ = 8560188. Its totient is φ = 779520.

The previous prime is 2664271. The next prime is 2664293. The reversal of 2664288 is 8824662.

2664288 is a `hidden beast` number, since 2 + 6 + 642 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 91858 + ... + 91886.

It is an arithmetic number, because the mean of its divisors is an integer number (79261).

2^2664288 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 2664288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280094).

2664288 is an abundant number, since it is smaller than the sum of its proper divisors (5895900).

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

2664288 is a wasteful number, since it uses less digits than its factorization.

2664288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2664288 is about 1632.2646844186. The cubic root of 2664288 is about 138.6310107207.

It can be divided in two parts, 266 and 4288, that added together give a palindrome (4554).

The spelling of 2664288 in words is "two million, six hundred sixty-four thousand, two hundred eighty-eight".