2181634560 has 560 divisors, whose sum is σ = 9016672896. Its totient is φ = 495673344.

The previous prime is 2181634523. The next prime is 2181634577. The reversal of 2181634560 is 654361812.

It is a happy number.

2181634560 is a `hidden beast` number, since 2 + 18 + 1 + 634 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 55 ways as a sum of consecutive naturals, for example, 13063597 + ... + 13063763.

Almost surely, 2^2181634560 is an apocalyptic number.

2181634560 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 2181634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508336448).

2181634560 is an abundant number, since it is smaller than the sum of its proper divisors (6835038336).

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

2181634560 is an frugal number, since it uses more digits than its factorization.

2181634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2181634560 is about 46707.9710542002. The cubic root of 2181634560 is about 1296.9622483403.

The spelling of 2181634560 in words is "two billion, one hundred eighty-one million, six hundred thirty-four thousand, five hundred sixty".