2114034322320 has 240 divisors, whose sum is σ = 7189818697152. Its totient is φ = 556590074880.

The previous prime is 2114034322303. The next prime is 2114034322333. The reversal of 2114034322320 is 232234304112.

2114034322320 is a `hidden beast` number, since 2 + 1 + 14 + 0 + 3 + 4 + 322 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2114034322320² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99609310 + ... + 99630530.

Almost surely, 2^{2114034322320} is an apocalyptic number.

2114034322320 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 2114034322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594909348576).

2114034322320 is an abundant number, since it is smaller than the sum of its proper divisors (5075784374832).

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

2114034322320 is a wasteful number, since it uses less digits than its factorization.

2114034322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22990 (or 22981 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2114034322320 its reverse (232234304112), we get a palindrome (2346268626432).

The spelling of 2114034322320 in words is "two trillion, one hundred fourteen billion, thirty-four million, three hundred twenty-two thousand, three hundred twenty".