2879280 has 160 divisors (see below), whose sum is σ = 10475520. Its totient is φ = 725760.

The previous prime is 2879257. The next prime is 2879291. The reversal of 2879280 is 829782.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66939 + ... + 66981.

It is an arithmetic number, because the mean of its divisors is an integer number (65472).

2^2879280 is an apocalyptic number.

2879280 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 2879280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237760).

2879280 is an abundant number, since it is smaller than the sum of its proper divisors (7596240).

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

2879280 is a wasteful number, since it uses less digits than its factorization.

2879280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2879280 is about 1696.8441295534. The cubic root of 2879280 is about 142.2638748804.

The spelling of 2879280 in words is "two million, eight hundred seventy-nine thousand, two hundred eighty".