2820000282 has 32 divisors (see below), whose sum is σ = 6283643904. Its totient is φ = 836362800.

The previous prime is 2820000259. The next prime is 2820000289.

2820000282 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2820000289) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 451444 + ... + 457647.

It is an arithmetic number, because the mean of its divisors is an integer number (196363872).

Almost surely, 2^2820000282 is an apocalyptic number.

2820000282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2820000282 is an abundant number, since it is smaller than the sum of its proper divisors (3463643622).

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

2820000282 is a wasteful number, since it uses less digits than its factorization.

2820000282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909154.

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

The square root of 2820000282 is about 53103.6748445906. The cubic root of 2820000282 is about 1412.8076914677.

It can be divided in two parts, 2820000 and 282, that multiplied together give a square (795240000 = 28200²).

The spelling of 2820000282 in words is "two billion, eight hundred twenty million, two hundred eighty-two", and thus it is an aban number.