2340896163840 has 960 divisors, whose sum is σ = 9429785164800. Its totient is φ = 551109132288.

The previous prime is 2340896163833. The next prime is 2340896163847. The reversal of 2340896163840 is 483616980432.

It is an interprime number because it is at equal distance from previous prime (2340896163833) and next prime (2340896163847).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×2340896163840³ (a number of 38 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2340896163847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 247997841 + ... + 248007279.

It is an arithmetic number, because the mean of its divisors is an integer number (9822692880).

Almost surely, 2^{2340896163840} is an apocalyptic number.

2340896163840 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 2340896163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714892582400).

2340896163840 is an abundant number, since it is smaller than the sum of its proper divisors (7088889000960).

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

2340896163840 is a wasteful number, since it uses less digits than its factorization.

2340896163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514 (or 9485 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 2340896163840 in words is "two trillion, three hundred forty billion, eight hundred ninety-six million, one hundred sixty-three thousand, eight hundred forty".