2764080 has 120 divisors (see below), whose sum is σ = 10155600. Its totient is φ = 668160.

The previous prime is 2764057. The next prime is 2764087. The reversal of 2764080 is 804672.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2764087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7746 + ... + 8094.

It is an arithmetic number, because the mean of its divisors is an integer number (84630).

2^2764080 is an apocalyptic number.

2764080 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 2764080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077800).

2764080 is an abundant number, since it is smaller than the sum of its proper divisors (7391520).

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

2764080 is a wasteful number, since it uses less digits than its factorization.

2764080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2764080 is about 1662.5522548179. The cubic root of 2764080 is about 140.3406669692.

It can be divided in two parts, 276 and 4080, that added together give a square (4356 = 66²).

The spelling of 2764080 in words is "two million, seven hundred sixty-four thousand, eighty".