2763680 has 48 divisors (see below), whose sum is σ = 6822144. Its totient is φ = 1056000.

The previous prime is 2763679. The next prime is 2763751. The reversal of 2763680 is 863672.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 3305 + ... + 4055.

It is an arithmetic number, because the mean of its divisors is an integer number (142128).

2^2763680 is an apocalyptic number.

2763680 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 2763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411072).

2763680 is an abundant number, since it is smaller than the sum of its proper divisors (4058464).

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

2763680 is a wasteful number, since it uses less digits than its factorization.

2763680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2763680 is about 1662.4319534946. The cubic root of 2763680 is about 140.3338969077. Note that the first 3 decimals are identical.

It can be divided in two parts, 2763 and 680, that added together give a palindrome (3443).

The spelling of 2763680 in words is "two million, seven hundred sixty-three thousand, six hundred eighty".