2640288 has 48 divisors (see below), whose sum is σ = 7922880. Its totient is φ = 754176.

The previous prime is 2640271. The next prime is 2640289. The reversal of 2640288 is 8820462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2640288² = 13942241445888, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2⁵ + 6⁷ + 4⁹ + 0 + 2²¹ + 8³ + 8³ .

It is not an unprimeable number, because it can be changed into a prime (2640289) 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 7 ways as a sum of consecutive naturals, for example, 1293 + ... + 2636.

It is an arithmetic number, because the mean of its divisors is an integer number (165060).

2^2640288 is an apocalyptic number.

2640288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2640288 is an abundant number, since it is smaller than the sum of its proper divisors (5282592).

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

2640288 is a wasteful number, since it uses less digits than its factorization.

2640288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2640288 is about 1624.8963043838. The cubic root of 2640288 is about 138.2134901798.

The spelling of 2640288 in words is "two million, six hundred forty thousand, two hundred eighty-eight".