2181310560 has 720 divisors, whose sum is σ = 9197728848. Its totient is φ = 483563520.

The previous prime is 2181310553. The next prime is 2181310597. The reversal of 2181310560 is 650131812.

2181310560 is a `hidden beast` number, since 21 + 81 + 3 + 1 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20386027 + ... + 20386133.

Almost surely, 2^2181310560 is an apocalyptic number.

2181310560 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 2181310560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598864424).

2181310560 is an abundant number, since it is smaller than the sum of its proper divisors (7016418288).

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

2181310560 is a wasteful number, since it uses less digits than its factorization.

2181310560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2181310560 is about 46704.5025666691. The cubic root of 2181310560 is about 1296.8980401268.

The spelling of 2181310560 in words is "two billion, one hundred eighty-one million, three hundred ten thousand, five hundred sixty".