2028960 has 72 divisors (see below), whose sum is σ = 6928740. Its totient is φ = 540672.

The previous prime is 2028947. The next prime is 2028973. The reversal of 2028960 is 698202.

It is an interprime number because it is at equal distance from previous prime (2028947) and next prime (2028973).

It can be written as a sum of positive squares in 2 ways, for example, as 1710864 + 318096 = 1308^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 736 + ... + 2144.

2^2028960 is an apocalyptic number.

2028960 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 2028960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464370).

2028960 is an abundant number, since it is smaller than the sum of its proper divisors (4899780).

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

2028960 is a wasteful number, since it uses less digits than its factorization.

2028960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1419 counting only the distinct ones).

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

The square root of 2028960 is about 1424.4156696695. The cubic root of 2028960 is about 126.5973150678.

The spelling of 2028960 in words is "two million, twenty-eight thousand, nine hundred sixty".