2181752160 has 192 divisors, whose sum is σ = 7874496000. Its totient is φ = 497405952.

The previous prime is 2181752143. The next prime is 2181752191. The reversal of 2181752160 is 612571812.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2079316 + ... + 2080364.

It is an arithmetic number, because the mean of its divisors is an integer number (41013000).

Almost surely, 2^2181752160 is an apocalyptic number.

2181752160 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 2181752160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248000).

2181752160 is an abundant number, since it is smaller than the sum of its proper divisors (5692743840).

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

2181752160 is a wasteful number, since it uses less digits than its factorization.

2181752160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 2181752160 is about 46709.2299230034. The cubic root of 2181752160 is about 1296.9855519712.

The spelling of 2181752160 in words is "two billion, one hundred eighty-one million, seven hundred fifty-two thousand, one hundred sixty".