2878600 has 48 divisors (see below), whose sum is σ = 6891300. Its totient is φ = 1117440.

The previous prime is 2878597. The next prime is 2878613. The reversal of 2878600 is 68782.

2878600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1285956 + 1592644 = 1134^2 + 1262^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7206 + ... + 7594.

2^2878600 is an apocalyptic number.

2878600 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 2878600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445650).

2878600 is an abundant number, since it is smaller than the sum of its proper divisors (4012700).

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

2878600 is a wasteful number, since it uses less digits than its factorization.

2878600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 2878600 is about 1696.6437457522. The cubic root of 2878600 is about 142.2526745049.

The spelling of 2878600 in words is "two million, eight hundred seventy-eight thousand, six hundred".