2886400 has 108 divisors (see below), whose sum is σ = 7983864. Its totient is φ = 1024000.

The previous prime is 2886383. The next prime is 2886409. The reversal of 2886400 is 46882.

It is not an unprimeable number, because it can be changed into a prime (2886409) 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, 70380 + ... + 70420.

2^2886400 is an apocalyptic number.

2886400 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 2886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991932).

2886400 is an abundant number, since it is smaller than the sum of its proper divisors (5097464).

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

2886400 is a wasteful number, since it uses less digits than its factorization.

2886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2886400 is about 1698.9408465276. The cubic root of 2886400 is about 142.3810436408.

The spelling of 2886400 in words is "two million, eight hundred eighty-six thousand, four hundred".