2882000 has 80 divisors (see below), whose sum is σ = 7660224. Its totient is φ = 1040000.

The previous prime is 2881951. The next prime is 2882021. The reversal of 2882000 is 2882.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21935 + ... + 22065.

2^2882000 is an apocalyptic number.

2882000 is a gapful number since it is divisible by the number (20) 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 2882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830112).

2882000 is an abundant number, since it is smaller than the sum of its proper divisors (4778224).

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

2882000 is a wasteful number, since it uses less digits than its factorization.

2882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2882000 is about 1697.6454282329. The cubic root of 2882000 is about 142.3086587561.

Adding to 2882000 its reverse (2882), we get a palindrome (2884882).

2882000 divided by its reverse (2882) gives a cube (1000 = 10³).

It can be divided in two parts, 28 and 82000, that added together give a palindrome (82028).

The spelling of 2882000 in words is "two million, eight hundred eighty-two thousand".