2881008 has 140 divisors (see below), whose sum is σ = 9487240. Its totient is φ = 839808.

The previous prime is 2880991. The next prime is 2881009. The reversal of 2881008 is 8001882.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2881009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 151623 + ... + 151641.

It is an arithmetic number, because the mean of its divisors is an integer number (67766).

2^2881008 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 2881008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743620).

2881008 is an abundant number, since it is smaller than the sum of its proper divisors (6606232).

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

2881008 is a wasteful number, since it uses less digits than its factorization.

2881008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 2881008 is about 1697.3532337142. The cubic root of 2881008 is about 142.2923290789.

It can be divided in two parts, 288 and 1008, that added together give a 4-th power (1296 = 6⁴).

The spelling of 2881008 in words is "two million, eight hundred eighty-one thousand, eight".