2827520 has 54 divisors (see below), whose sum is σ = 6919962. Its totient is φ = 1106944.

The previous prime is 2827519. The next prime is 2827547. The reversal of 2827520 is 257282.

It can be written as a sum of positive squares in only one way, i.e., 2262016 + 565504 = 1504^2 + 752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2827520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60137 + ... + 60183.

2^2827520 is an apocalyptic number.

2827520 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 2827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459981).

2827520 is an abundant number, since it is smaller than the sum of its proper divisors (4092442).

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

2827520 is an frugal number, since it uses more digits than its factorization.

2827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 2827520 is about 1681.5231190798. The cubic root of 2827520 is about 141.4062358750.

The spelling of 2827520 in words is "two million, eight hundred twenty-seven thousand, five hundred twenty".