2052719164160 has 432 divisors, whose sum is σ = 5869276912800. Its totient is φ = 685598441472.

The previous prime is 2052719164147. The next prime is 2052719164187. The reversal of 2052719164160 is 614619172502.

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, 418151786 + ... + 418156694.

It is an arithmetic number, because the mean of its divisors is an integer number (13586289150).

Almost surely, 2^{2052719164160} is an apocalyptic number.

2052719164160 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 2052719164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934638456400).

2052719164160 is an abundant number, since it is smaller than the sum of its proper divisors (3816557748640).

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

2052719164160 is a wasteful number, since it uses less digits than its factorization.

2052719164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 2052719164160 in words is "two trillion, fifty-two billion, seven hundred nineteen million, one hundred sixty-four thousand, one hundred sixty".