2860800 has 108 divisors (see below), whose sum is σ = 9504600. Its totient is φ = 757760.

The previous prime is 2860799. The next prime is 2860801. The reversal of 2860800 is 80682.

It is an interprime number because it is at equal distance from previous prime (2860799) and next prime (2860801).

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 (2860801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19126 + ... + 19274.

2^2860800 is an apocalyptic number.

2860800 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 2860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752300).

2860800 is an abundant number, since it is smaller than the sum of its proper divisors (6643800).

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

2860800 is a wasteful number, since it uses less digits than its factorization.

2860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

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

The square root of 2860800 is about 1691.3899609493. The cubic root of 2860800 is about 141.9588586758.

The spelling of 2860800 in words is "two million, eight hundred sixty thousand, eight hundred".