2114410032240 has 320 divisors, whose sum is σ = 7574429491200. Its totient is φ = 482224619520.

The previous prime is 2114410032227. The next prime is 2114410032281. The reversal of 2114410032240 is 422300144112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2114410032240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120134961 + ... + 120152559.

It is an arithmetic number, because the mean of its divisors is an integer number (23670092160).

Almost surely, 2^{2114410032240} is an apocalyptic number.

2114410032240 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 2114410032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787214745600).

2114410032240 is an abundant number, since it is smaller than the sum of its proper divisors (5460019458960).

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

2114410032240 is a wasteful number, since it uses less digits than its factorization.

2114410032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20320 (or 20314 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2114410032240 its reverse (422300144112), we get a palindrome (2536710176352).

The spelling of 2114410032240 in words is "two trillion, one hundred fourteen billion, four hundred ten million, thirty-two thousand, two hundred forty".