2883280 has 40 divisors (see below), whose sum is σ = 6999552. Its totient is φ = 1102464.

The previous prime is 2883259. The next prime is 2883289. The reversal of 2883280 is 823882.

2883280 = 343² + 344² + ... + 365².

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2883289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1057 + ... + 2623.

2^2883280 is an apocalyptic number.

2883280 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 2883280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499776).

2883280 is an abundant number, since it is smaller than the sum of its proper divisors (4116272).

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

2883280 is a wasteful number, since it uses less digits than its factorization.

2883280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 2883280 is about 1698.0223791223. The cubic root of 2883280 is about 142.3297237715.

The spelling of 2883280 in words is "two million, eight hundred eighty-three thousand, two hundred eighty".