2871288 has 96 divisors (see below), whose sum is σ = 9260160. Its totient is φ = 816480.

The previous prime is 2871287. The next prime is 2871289. The reversal of 2871288 is 8821782.

It is an interprime number because it is at equal distance from previous prime (2871287) and next prime (2871289).

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 not an unprimeable number, because it can be changed into a prime (2871287) 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, 13503 + ... + 13713.

It is an arithmetic number, because the mean of its divisors is an integer number (96460).

2^2871288 is an apocalyptic number.

2871288 is a gapful number since it is divisible by the number (28) 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 2871288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630080).

2871288 is an abundant number, since it is smaller than the sum of its proper divisors (6388872).

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

2871288 is a wasteful number, since it uses less digits than its factorization.

2871288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 2871288 is about 1694.4875331498. The cubic root of 2871288 is about 142.1321259159.

The spelling of 2871288 in words is "two million, eight hundred seventy-one thousand, two hundred eighty-eight".