2868000 has 96 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 761600.

The previous prime is 2867959. The next prime is 2868001. The reversal of 2868000 is 8682.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2868001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11881 + ... + 12119.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

2^2868000 is an apocalyptic number.

2868000 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 2868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

2868000 is an abundant number, since it is smaller than the sum of its proper divisors (6566880).

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

2868000 is a wasteful number, since it uses less digits than its factorization.

2868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2868000 is about 1693.5170504013. The cubic root of 2868000 is about 142.0778519073.

The spelling of 2868000 in words is "two million, eight hundred sixty-eight thousand".