2130604560 has 560 divisors, whose sum is σ = 9016672896. Its totient is φ = 456855552.

The previous prime is 2130604529. The next prime is 2130604561. The reversal of 2130604560 is 654060312.

2130604560 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 604 + 56 + 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 (27).

It is not an unprimeable number, because it can be changed into a prime (2130604561) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6939927 + ... + 6940233.

Almost surely, 2^2130604560 is an apocalyptic number.

2130604560 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 2130604560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508336448).

2130604560 is an abundant number, since it is smaller than the sum of its proper divisors (6886068336).

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

2130604560 is a wasteful number, since it uses less digits than its factorization.

2130604560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2130604560 is about 46158.4722450819. The cubic root of 2130604560 is about 1286.7700699320.

Adding to 2130604560 its reverse (654060312), we get a palindrome (2784664872).

The spelling of 2130604560 in words is "two billion, one hundred thirty million, six hundred four thousand, five hundred sixty".