2888 has 12 divisors (see below), whose sum is σ = 5715. Its totient is φ = 1368.

The previous prime is 2887. The next prime is 2897. The reversal of 2888 is 8882.

It can be divided in two parts, 288 and 8, that multiplied together give a square (2304 = 48^{2}).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2888 is nontrivially palindromic in base 6.

2888 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 1444 + 1444 = 38^2 + 38^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=38.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

2888 is an undulating number in base 6.

It is a plaindrome in base 10.

It is a nialpdrome in base 8 and base 15.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 2888.

It is not an unprimeable number, because it can be changed into a prime (2887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 143 + ... + 161.

It is an amenable number.

2888 is a deficient number, since it is larger than the sum of its proper divisors (2827).

2888 is a wasteful number, since it uses less digits than its factorization.

2888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 21 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

The square root of 2888 is about 53.7401153702. The cubic root of 2888 is about 14.2407347178.

The spelling of 2888 in words is "two thousand, eight hundred eighty-eight".

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