2878400 has 84 divisors (see below), whose sum is σ = 8125968. Its totient is φ = 983040.

The previous prime is 2878397. The next prime is 2878409. The reversal of 2878400 is 48782.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2878409) 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, 11072 + ... + 11328.

2^2878400 is an apocalyptic number.

2878400 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 2878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062984).

2878400 is an abundant number, since it is smaller than the sum of its proper divisors (5247568).

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

2878400 is a wasteful number, since it uses less digits than its factorization.

2878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 2878400 is about 1696.5848048359. The cubic root of 2878400 is about 142.2493799411.

The spelling of 2878400 in words is "two million, eight hundred seventy-eight thousand, four hundred".