2880512 has 44 divisors (see below), whose sum is σ = 6018180. Its totient is φ = 1376256.

The previous prime is 2880511. The next prime is 2880529. The reversal of 2880512 is 2150882.

It can be written as a sum of positive squares in 2 ways, for example, as 1401856 + 1478656 = 1184^2 + 1216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29648 + ... + 29744.

2^2880512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2880512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009090).

2880512 is an abundant number, since it is smaller than the sum of its proper divisors (3137668).

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

2880512 is an equidigital number, since it uses as much as digits as its factorization.

2880512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 2880512 is about 1697.2071175905. The cubic root of 2880512 is about 142.2841628345.

The spelling of 2880512 in words is "two million, eight hundred eighty thousand, five hundred twelve".