2822503120 has 20 divisors (see below), whose sum is σ = 6562319940. Its totient is φ = 1129001216.

The previous prime is 2822503109. The next prime is 2822503127. The reversal of 2822503120 is 213052282.

It can be written as a sum of positive squares in 2 ways, for example, as 2048105536 + 774397584 = 45256^2 + 27828^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2822503127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17640565 + ... + 17640724.

It is an arithmetic number, because the mean of its divisors is an integer number (328115997).

Almost surely, 2^2822503120 is an apocalyptic number.

2822503120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2822503120 is an abundant number, since it is smaller than the sum of its proper divisors (3739816820).

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

2822503120 is a wasteful number, since it uses less digits than its factorization.

2822503120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35281302 (or 35281296 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2822503120 is about 53127.2352000365. The cubic root of 2822503120 is about 1413.2255381376.

The spelling of 2822503120 in words is "two billion, eight hundred twenty-two million, five hundred three thousand, one hundred twenty".