2114300204160 has 128 divisors (see below), whose sum is σ = 6742992009600. Its totient is φ = 563507183616.

The previous prime is 2114300204129. The next prime is 2114300204171. The reversal of 2114300204160 is 614020034112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2114300204160² (a number of 25 digits) contains 22 as substring.

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 2114300204160.

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 15 ways as a sum of consecutive naturals, for example, 3248136 + ... + 3844344.

It is an arithmetic number, because the mean of its divisors is an integer number (52679625075).

Almost surely, 2^{2114300204160} is an apocalyptic number.

2114300204160 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 2114300204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371496004800).

2114300204160 is an abundant number, since it is smaller than the sum of its proper divisors (4628691805440).

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

2114300204160 is a wasteful number, since it uses less digits than its factorization.

2114300204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598078 (or 598066 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2114300204160 its reverse (614020034112), we get a palindrome (2728320238272).

The spelling of 2114300204160 in words is "two trillion, one hundred fourteen billion, three hundred million, two hundred four thousand, one hundred sixty".