2141244304224 has 48 divisors (see below), whose sum is σ = 5751481804992. Its totient is φ = 697149307008.

The previous prime is 2141244304139. The next prime is 2141244304289. The reversal of 2141244304224 is 4224034421412.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 259352014 + ... + 259360269.

It is an arithmetic number, because the mean of its divisors is an integer number (119822537604).

Almost surely, 2^{2141244304224} is an apocalyptic number.

2141244304224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141244304224 is an abundant number, since it is smaller than the sum of its proper divisors (3610237500768).

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

2141244304224 is a wasteful number, since it uses less digits than its factorization.

2141244304224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518712339 (or 518712331 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 2141244304224 its reverse (4224034421412), we get a palindrome (6365278725636).

The spelling of 2141244304224 in words is "two trillion, one hundred forty-one billion, two hundred forty-four million, three hundred four thousand, two hundred twenty-four".