2864000 has 64 divisors (see below), whose sum is σ = 7160400. Its totient is φ = 1139200.

The previous prime is 2863979. The next prime is 2864021. The reversal of 2864000 is 4682.

It is an interprime number because it is at equal distance from previous prime (2863979) and next prime (2864021).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15911 + ... + 16089.

2^2864000 is an apocalyptic number.

2864000 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 2864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580200).

2864000 is an abundant number, since it is smaller than the sum of its proper divisors (4296400).

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

2864000 is an equidigital number, since it uses as much as digits as its factorization.

2864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2864000 is about 1692.3356641045. The cubic root of 2864000 is about 142.0117691760.

Adding to 2864000 its reverse (4682), we get a palindrome (2868682).

It can be divided in two parts, 2 and 864000, that multiplied together give a cube (1728000 = 120³).

The spelling of 2864000 in words is "two million, eight hundred sixty-four thousand".