2842080 has 96 divisors (see below), whose sum is σ = 9289728. Its totient is φ = 729600.

The previous prime is 2842069. The next prime is 2842097. The reversal of 2842080 is 802482.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2842080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14785 + ... + 14975.

It is an arithmetic number, because the mean of its divisors is an integer number (96768).

2^2842080 is an apocalyptic number.

2842080 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 2842080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644864).

2842080 is an abundant number, since it is smaller than the sum of its proper divisors (6447648).

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

2842080 is a wasteful number, since it uses less digits than its factorization.

2842080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2842080 is about 1685.8469681439. The cubic root of 2842080 is about 141.6485390107.

The spelling of 2842080 in words is "two million, eight hundred forty-two thousand, eighty".