2231209943424 has 1024 divisors, whose sum is σ = 8512177766400. Its totient is φ = 558379008000.

The previous prime is 2231209943399. The next prime is 2231209943447. The reversal of 2231209943424 is 4243499021322.

2231209943424 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 209 + 9 + 434 + 2 + 4 = 666.

It is a super-3 number, since 3×2231209943424³ (a number of 38 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2231209943424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2532587464 + ... + 2532588344.

It is an arithmetic number, because the mean of its divisors is an integer number (8312673600).

Almost surely, 2^{2231209943424} is an apocalyptic number.

2231209943424 is a gapful number since it is divisible by the number (24) 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 2231209943424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256088883200).

2231209943424 is an abundant number, since it is smaller than the sum of its proper divisors (6280967822976).

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

2231209943424 is a wasteful number, since it uses less digits than its factorization.

2231209943424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2231209943424 in words is "two trillion, two hundred thirty-one billion, two hundred nine million, nine hundred forty-three thousand, four hundred twenty-four".