2160614168400 has 240 divisors, whose sum is σ = 7039255808000. Its totient is φ = 566345779200.

The previous prime is 2160614168311. The next prime is 2160614168423. The reversal of 2160614168400 is 48614160612.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121722726 + ... + 121740474.

Almost surely, 2^{2160614168400} is an apocalyptic number.

2160614168400 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 2160614168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519627904000).

2160614168400 is an abundant number, since it is smaller than the sum of its proper divisors (4878641639600).

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

2160614168400 is a wasteful number, since it uses less digits than its factorization.

2160614168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19494 (or 19483 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 2160614168400 in words is "two trillion, one hundred sixty billion, six hundred fourteen million, one hundred sixty-eight thousand, four hundred".