2888480 has 48 divisors (see below), whose sum is σ = 7801920. Its totient is φ = 989952.

The previous prime is 2888467. The next prime is 2888489. The reversal of 2888480 is 848882.

2888480 = T₃₅ + T₃₆ + ... + T₂₅₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2888489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170 + ... + 2409.

It is an arithmetic number, because the mean of its divisors is an integer number (162540).

2^2888480 is an apocalyptic number.

2888480 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 2888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900960).

2888480 is an abundant number, since it is smaller than the sum of its proper divisors (4913440).

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

2888480 is a wasteful number, since it uses less digits than its factorization.

2888480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 38.

The square root of 2888480 is about 1699.5528823782. The cubic root of 2888480 is about 142.4152363447.

The spelling of 2888480 in words is "two million, eight hundred eighty-eight thousand, four hundred eighty".