2121730560 has 240 divisors, whose sum is σ = 7781830056. Its totient is φ = 532414464.

The previous prime is 2121730549. The next prime is 2121730561. The reversal of 2121730560 is 650371212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1515389184 + 606341376 = 38928^2 + 24624^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (2121730561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388972 + ... + 394388.

Almost surely, 2^2121730560 is an apocalyptic number.

2121730560 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 2121730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890915028).

2121730560 is an abundant number, since it is smaller than the sum of its proper divisors (5660099496).

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

2121730560 is a wasteful number, since it uses less digits than its factorization.

2121730560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463 (or 5444 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2121730560 is about 46062.2465800356. The cubic root of 2121730560 is about 1284.9811117251.

The spelling of 2121730560 in words is "two billion, one hundred twenty-one million, seven hundred thirty thousand, five hundred sixty".