2312788116240 has 640 divisors, whose sum is σ = 9217660032000. Its totient is φ = 522082713600.

The previous prime is 2312788116239. The next prime is 2312788116253. The reversal of 2312788116240 is 426118872132.

2312788116240 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 7 + 8 + 8 + 11 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 685675194 + ... + 685678566.

It is an arithmetic number, because the mean of its divisors is an integer number (14402593800).

Almost surely, 2^{2312788116240} is an apocalyptic number.

2312788116240 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 2312788116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608830016000).

2312788116240 is an abundant number, since it is smaller than the sum of its proper divisors (6904871915760).

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

2312788116240 is a wasteful number, since it uses less digits than its factorization.

2312788116240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 2312788116240 in words is "two trillion, three hundred twelve billion, seven hundred eighty-eight million, one hundred sixteen thousand, two hundred forty".