2131822944 has 72 divisors (see below), whose sum is σ = 6271443360. Its totient is φ = 686101248.

The previous prime is 2131822897. The next prime is 2131822991. The reversal of 2131822944 is 4492281312.

It is an interprime number because it is at equal distance from previous prime (2131822897) and next prime (2131822991).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2131822899 and 2131822908.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 119272 + ... + 135975.

It is an arithmetic number, because the mean of its divisors is an integer number (87103380).

Almost surely, 2^2131822944 is an apocalyptic number.

2131822944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2131822944 is an abundant number, since it is smaller than the sum of its proper divisors (4139620416).

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

2131822944 is a wasteful number, since it uses less digits than its factorization.

2131822944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255292 (or 255281 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2131822944 is about 46171.6681959836. The cubic root of 2131822944 is about 1287.0153025676.

The spelling of 2131822944 in words is "two billion, one hundred thirty-one million, eight hundred twenty-two thousand, nine hundred forty-four".