2340957731616 has 1728 divisors, whose sum is σ = 8903400145920. Its totient is φ = 603150105600.

The previous prime is 2340957731591. The next prime is 2340957731641. The reversal of 2340957731616 is 6161377590432.

2340957731616 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 9 + 577 + 3 + 1 + 61 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2340957731591) and next prime (2340957731641).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 38376356226 + ... + 38376356286.

It is an arithmetic number, because the mean of its divisors is an integer number (5152430640).

Almost surely, 2^{2340957731616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340957731616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451700072960).

2340957731616 is an abundant number, since it is smaller than the sum of its proper divisors (6562442414304).

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

2340957731616 is an equidigital number, since it uses as much as digits as its factorization.

2340957731616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 2340957731616 in words is "two trillion, three hundred forty billion, nine hundred fifty-seven million, seven hundred thirty-one thousand, six hundred sixteen".