2880 has 42 divisors (see below), whose sum is σ = 9906. Its totient is φ = 768.

The previous prime is 2879. The next prime is 2887. The reversal of 2880 is 882.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)^{2}.

It can be written as a sum of positive squares in only one way, i.e., 2304 + 576 = 48^2 + 24^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 8, base 15 and base 16.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2887) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 574 + ... + 578.

2^{2880} is an apocalyptic number.

2880 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 2880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953).

2880 is an abundant number, since it is smaller than the sum of its proper divisors (7026).

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

2880 is a wasteful number, since it uses less digits than its factorization.

2880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2880 is about 53.6656314600. The cubic root of 2880 is about 14.2275732180.

The spelling of 2880 in words is "two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880

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