2888960 has 72 divisors (see below), whose sum is σ = 7223496. Its totient is φ = 1105920.

The previous prime is 2888953. The next prime is 2888971. The reversal of 2888960 is 698882.

2888960 = 23² + 24² + ... + 205².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 173056 + 2715904 = 416^2 + 1648^2 .

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, 47330 + ... + 47390.

2^2888960 is an apocalyptic number.

2888960 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 2888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611748).

2888960 is an abundant number, since it is smaller than the sum of its proper divisors (4334536).

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

2888960 is an equidigital number, since it uses as much as digits as its factorization.

2888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 2888960 is about 1699.6940901233. The cubic root of 2888960 is about 142.4231246374.

It can be divided in two parts, 28 and 88960, that added together give a palindrome (88988).

The spelling of 2888960 in words is "two million, eight hundred eighty-eight thousand, nine hundred sixty".