2768000 has 64 divisors (see below), whose sum is σ = 6921720. Its totient is φ = 1100800.

The previous prime is 2767993. The next prime is 2768011. The reversal of 2768000 is 8672.

2768000 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 1459264 + 1308736 = 1208^2 + 1144^2 .

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

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, 15914 + ... + 16086.

2^2768000 is an apocalyptic number.

2768000 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 2768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460860).

2768000 is an abundant number, since it is smaller than the sum of its proper divisors (4153720).

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

2768000 is an equidigital number, since it uses as much as digits as its factorization.

2768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 2768000 is about 1663.7307474468. The cubic root of 2768000 is about 140.4069790337.

Adding to 2768000 its product of nonzero digits (672), we get a palindrome (2768672).

The spelling of 2768000 in words is "two million, seven hundred sixty-eight thousand".