2820501 has 28 divisors (see below), whose sum is σ = 4367628. Its totient is φ = 1819584.

The previous prime is 2820491. The next prime is 2820509. The reversal of 2820501 is 1050282.

It can be written as a sum of positive squares in 2 ways, for example, as 1822500 + 998001 = 1350^2 + 999^2 .

It is not a de Polignac number, because 2820501 - 2⁷ = 2820373 is a prime.

2820501 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820509) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 38601 + ... + 38673.

2^2820501 is an apocalyptic number.

It is an amenable number.

2820501 is a deficient number, since it is larger than the sum of its proper divisors (1547127).

2820501 is an frugal number, since it uses more digits than its factorization.

2820501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2820501 is about 1679.4347263291. The cubic root of 2820501 is about 141.2891305688.

Adding to 2820501 its reverse (1050282), we get a palindrome (3870783).

It can be divided in two parts, 2820 and 501, that added together give a triangular number (3321 = T₈₁).

The spelling of 2820501 in words is "two million, eight hundred twenty thousand, five hundred one".