2340245360160 has 192 divisors, whose sum is σ = 8194100745600. Its totient is φ = 623818423296.

The previous prime is 2340245360129. The next prime is 2340245360179. The reversal of 2340245360160 is 610635420432.

2340245360160 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 2 + 45 + 3 + 601 + 6 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 10940311 + ... + 11152169.

It is an arithmetic number, because the mean of its divisors is an integer number (42677608050).

Almost surely, 2^{2340245360160} is an apocalyptic number.

2340245360160 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 2340245360160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097050372800).

2340245360160 is an abundant number, since it is smaller than the sum of its proper divisors (5853855385440).

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

2340245360160 is a wasteful number, since it uses less digits than its factorization.

2340245360160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214440 (or 214426 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2340245360160 in words is "two trillion, three hundred forty billion, two hundred forty-five million, three hundred sixty thousand, one hundred sixty".