2114165518080 has 1152 divisors, whose sum is σ = 8732765454336. Its totient is φ = 423036518400.

The previous prime is 2114165518079. The next prime is 2114165518093. The reversal of 2114165518080 is 808155614112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2410678602 + ... + 2410679478.

It is an arithmetic number, because the mean of its divisors is an integer number (7580525568).

Almost surely, 2^{2114165518080} is an apocalyptic number.

2114165518080 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 2114165518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366382727168).

2114165518080 is an abundant number, since it is smaller than the sum of its proper divisors (6618599936256).

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

2114165518080 is a wasteful number, since it uses less digits than its factorization.

2114165518080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 42.

The spelling of 2114165518080 in words is "two trillion, one hundred fourteen billion, one hundred sixty-five million, five hundred eighteen thousand, eighty".