2802960 has 120 divisors (see below), whose sum is σ = 10010520. Its totient is φ = 700416.

The previous prime is 2802959. The next prime is 2802967. The reversal of 2802960 is 692082.

2802960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 1557504 = 1116^2 + 1248^2 .

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2802967) 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, 12126 + ... + 12354.

It is an arithmetic number, because the mean of its divisors is an integer number (83421).

2^2802960 is an apocalyptic number.

2802960 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 2802960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005260).

2802960 is an abundant number, since it is smaller than the sum of its proper divisors (7207560).

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

2802960 is a wasteful number, since it uses less digits than its factorization.

2802960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

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

The square root of 2802960 is about 1674.2042886100. The cubic root of 2802960 is about 140.9956238268.

It can be divided in two parts, 280 and 2960, that added together give a triangular number (3240 = T₈₀).

The spelling of 2802960 in words is "two million, eight hundred two thousand, nine hundred sixty".