2784768 has 120 divisors (see below), whose sum is σ = 8863272. Its totient is φ = 774144.

The previous prime is 2784757. The next prime is 2784791. The reversal of 2784768 is 8674872.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (150528) is a multiple of the sum of its prime divisors (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75246 + ... + 75282.

2^2784768 is an apocalyptic number.

2784768 is a gapful number since it is divisible by the number (28) 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 2784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431636).

2784768 is an abundant number, since it is smaller than the sum of its proper divisors (6078504).

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

2784768 is an equidigital number, since it uses as much as digits as its factorization.

2784768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 2784768 is about 1668.7624156842. The cubic root of 2784768 is about 140.6899277461.

The spelling of 2784768 in words is "two million, seven hundred eighty-four thousand, seven hundred sixty-eight".