2864800 has 36 divisors (see below), whose sum is σ = 6995646. Its totient is φ = 1145600.

The previous prime is 2864761. The next prime is 2864831. The reversal of 2864800 is 84682.

2864800 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 3 ways, for example, as 2598544 + 266256 = 1612^2 + 516^2 .

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 5 ways as a sum of consecutive naturals, for example, 991 + ... + 2590.

2^2864800 is an apocalyptic number.

2864800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2864800 is an abundant number, since it is smaller than the sum of its proper divisors (4130846).

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

2864800 is a wasteful number, since it uses less digits than its factorization.

2864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3588 counting only the distinct ones).

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

The square root of 2864800 is about 1692.5720073309. The cubic root of 2864800 is about 142.0249906423.

The spelling of 2864800 in words is "two million, eight hundred sixty-four thousand, eight hundred".