2116870560 has 432 divisors, whose sum is σ = 8851096800. Its totient is φ = 458099712.

The previous prime is 2116870519. The next prime is 2116870621. The reversal of 2116870560 is 650786112.

2116870560 is a `hidden beast` number, since 2 + 1 + 16 + 87 + 0 + 560 = 666.

It is a super-2 number, since 2×2116870560² = 8962281935589427200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1339851 + ... + 1341429.

It is an arithmetic number, because the mean of its divisors is an integer number (20488650).

Almost surely, 2^2116870560 is an apocalyptic number.

2116870560 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 2116870560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425548400).

2116870560 is an abundant number, since it is smaller than the sum of its proper divisors (6734226240).

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

2116870560 is a wasteful number, since it uses less digits than its factorization.

2116870560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2116870560 is about 46009.4616356245. The cubic root of 2116870560 is about 1283.9992430193. Note that the first 3 decimals are identical.

The spelling of 2116870560 in words is "two billion, one hundred sixteen million, eight hundred seventy thousand, five hundred sixty".