2320612224840 has 960 divisors, whose sum is σ = 10035639860400. Its totient is φ = 476374929408.

The previous prime is 2320612224809. The next prime is 2320612224841. The reversal of 2320612224840 is 484222160232.

2320612224840 is a `hidden beast` number, since 2 + 32 + 0 + 612 + 2 + 2 + 4 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1306325558916 + 1014286665924 = 1142946^2 + 1007118^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2320612224795 and 2320612224804.

It is not an unprimeable number, because it can be changed into a prime (2320612224841) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 76348366 + ... + 76378754.

Almost surely, 2^{2320612224840} is an apocalyptic number.

2320612224840 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 2320612224840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017819930200).

2320612224840 is an abundant number, since it is smaller than the sum of its proper divisors (7715027635560).

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

2320612224840 is a wasteful number, since it uses less digits than its factorization.

2320612224840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30476 (or 30456 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

It can be divided in two parts, 2320612 and 224840, that added together give a palindrome (2545452).

The spelling of 2320612224840 in words is "two trillion, three hundred twenty billion, six hundred twelve million, two hundred twenty-four thousand, eight hundred forty".