2982880 has 48 divisors (see below), whose sum is σ = 7154784. Its totient is φ = 1175040.

The previous prime is 2982869. The next prime is 2982883. The reversal of 2982880 is 882892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2982883) 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, 16390 + ... + 16570.

It is an arithmetic number, because the mean of its divisors is an integer number (149058).

2^2982880 is an apocalyptic number.

2982880 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 2982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577392).

2982880 is an abundant number, since it is smaller than the sum of its proper divisors (4171904).

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

2982880 is a wasteful number, since it uses less digits than its factorization.

2982880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 2982880 is about 1727.1016183190. The cubic root of 2982880 is about 143.9500855809.

The spelling of 2982880 in words is "two million, nine hundred eighty-two thousand, eight hundred eighty".