2823131820 has 96 divisors (see below), whose sum is σ = 8233214976. Its totient is φ = 722131200.

The previous prime is 2823131819. The next prime is 2823131821. The reversal of 2823131820 is 281313282.

It is an interprime number because it is at equal distance from previous prime (2823131819) and next prime (2823131821).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2823131821) 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 31 ways as a sum of consecutive naturals, for example, 148665 + ... + 166575.

It is an arithmetic number, because the mean of its divisors is an integer number (85762656).

Almost surely, 2^2823131820 is an apocalyptic number.

2823131820 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 2823131820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116607488).

2823131820 is an abundant number, since it is smaller than the sum of its proper divisors (5410083156).

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

2823131820 is a wasteful number, since it uses less digits than its factorization.

2823131820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18031 (or 18029 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2823131820 is about 53133.1517981006. The cubic root of 2823131820 is about 1413.3304602459.

The spelling of 2823131820 in words is "two billion, eight hundred twenty-three million, one hundred thirty-one thousand, eight hundred twenty".