2820960 has 96 divisors (see below), whose sum is σ = 9888480. Its totient is φ = 751104.

The previous prime is 2820947. The next prime is 2820971. The reversal of 2820960 is 690282.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3994 + ... + 4646.

It is an arithmetic number, because the mean of its divisors is an integer number (103005).

2^2820960 is an apocalyptic number.

2820960 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 2820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944240).

2820960 is an abundant number, since it is smaller than the sum of its proper divisors (7067520).

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

2820960 is a wasteful number, since it uses less digits than its factorization.

2820960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2820960 is about 1679.5713738928. The cubic root of 2820960 is about 141.2967944783.

The spelling of 2820960 in words is "two million, eight hundred twenty thousand, nine hundred sixty".