2801288 has 16 divisors (see below), whose sum is σ = 6002880. Its totient is φ = 1200528.

The previous prime is 2801287. The next prime is 2801299. The reversal of 2801288 is 8821082.

2801288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2801288.

It is not an unprimeable number, because it can be changed into a prime (2801287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24956 + ... + 25067.

It is an arithmetic number, because the mean of its divisors is an integer number (375180).

2^2801288 is an apocalyptic number.

2801288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2801288 is an abundant number, since it is smaller than the sum of its proper divisors (3201592).

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

2801288 is a wasteful number, since it uses less digits than its factorization.

2801288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50036 (or 50032 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 2801288 is about 1673.7048724312. The cubic root of 2801288 is about 140.9675830445.

The spelling of 2801288 in words is "two million, eight hundred one thousand, two hundred eighty-eight".