2142310000224 has 96 divisors (see below), whose sum is σ = 5648889818880. Its totient is φ = 710891500032.

The previous prime is 2142310000217. The next prime is 2142310000267. The reversal of 2142310000224 is 4220000132412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2142310000224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33616839 + ... + 33680505.

It is an arithmetic number, because the mean of its divisors is an integer number (58842602280).

Almost surely, 2^{2142310000224} is an apocalyptic number.

2142310000224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142310000224 is an abundant number, since it is smaller than the sum of its proper divisors (3506579818656).

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

2142310000224 is a wasteful number, since it uses less digits than its factorization.

2142310000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65252 (or 65244 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2142310000224 its reverse (4220000132412), we get a palindrome (6362310132636).

The spelling of 2142310000224 in words is "two trillion, one hundred forty-two billion, three hundred ten million, two hundred twenty-four", and thus it is an aban number.