2858000 has 40 divisors (see below), whose sum is σ = 6915480. Its totient is φ = 1142400.

The previous prime is 2857993. The next prime is 2858029. The reversal of 2858000 is 8582.

It can be written as a sum of positive squares in 4 ways, for example, as 595984 + 2262016 = 772^2 + 1504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1286 + ... + 2714.

It is an arithmetic number, because the mean of its divisors is an integer number (172887).

2^2858000 is an apocalyptic number.

2858000 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 2858000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457740).

2858000 is an abundant number, since it is smaller than the sum of its proper divisors (4057480).

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

2858000 is a wasteful number, since it uses less digits than its factorization.

2858000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 2858000 is about 1690.5620367203. The cubic root of 2858000 is about 141.9125296124.

The spelling of 2858000 in words is "two million, eight hundred fifty-eight thousand".