2886800 has 60 divisors (see below), whose sum is σ = 7934016. Its totient is φ = 988800.

The previous prime is 2886791. The next prime is 2886809. The reversal of 2886800 is 86882.

2886800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2886791) and next prime (2886809).

It is a super-2 number, since 2×2886800² = 16667228480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2886809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2285 + ... + 3315.

2^2886800 is an apocalyptic number.

2886800 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 2886800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967008).

2886800 is an abundant number, since it is smaller than the sum of its proper divisors (5047216).

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

2886800 is a wasteful number, since it uses less digits than its factorization.

2886800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 2886800 is about 1699.0585628518. The cubic root of 2886800 is about 142.3876204362.

The spelling of 2886800 in words is "two million, eight hundred eighty-six thousand, eight hundred".