2114243418240 has 768 divisors, whose sum is σ = 7838403955200. Its totient is φ = 523813847040.

The previous prime is 2114243418169. The next prime is 2114243418289. The reversal of 2114243418240 is 428143424112.

2114243418240 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 2 + 434 + 182 + 40 = 666.

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 = 2114243418195 and 2114243418204.

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 95 ways as a sum of consecutive naturals, for example, 1461121197 + ... + 1461122643.

It is an arithmetic number, because the mean of its divisors is an integer number (10206255150).

Almost surely, 2^{2114243418240} is an apocalyptic number.

2114243418240 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 2114243418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919201977600).

2114243418240 is an abundant number, since it is smaller than the sum of its proper divisors (5724160536960).

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

2114243418240 is a wasteful number, since it uses less digits than its factorization.

2114243418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 2114243418240 in words is "two trillion, one hundred fourteen billion, two hundred forty-three million, four hundred eighteen thousand, two hundred forty".