2820048 has 120 divisors (see below), whose sum is σ = 9329760. Its totient is φ = 725760.

The previous prime is 2820043. The next prime is 2820071. The reversal of 2820048 is 8400282.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25818 + ... + 25926.

It is an arithmetic number, because the mean of its divisors is an integer number (77748).

2^2820048 is an apocalyptic number.

2820048 is a gapful number since it is divisible by the number (28) 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 2820048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664880).

2820048 is an abundant number, since it is smaller than the sum of its proper divisors (6509712).

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

2820048 is a wasteful number, since it uses less digits than its factorization.

2820048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

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

The square root of 2820048 is about 1679.2998541059. The cubic root of 2820048 is about 141.2815660259.

The spelling of 2820048 in words is "two million, eight hundred twenty thousand, forty-eight".