2101567680 has 280 divisors, whose sum is σ = 7567940160. Its totient is φ = 553512960.

The previous prime is 2101567673. The next prime is 2101567703. The reversal of 2101567680 is 867651012.

2101567680 is a `hidden beast` number, since 2 + 10 + 1 + 567 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2306425 + ... + 2307335.

Almost surely, 2^2101567680 is an apocalyptic number.

2101567680 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 2101567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783970080).

2101567680 is an abundant number, since it is smaller than the sum of its proper divisors (5466372480).

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

2101567680 is an equidigital number, since it uses as much as digits as its factorization.

2101567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1010 counting only the distinct ones).

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

The square root of 2101567680 is about 45842.8585496149. The cubic root of 2101567680 is about 1280.8977426066.

The spelling of 2101567680 in words is "two billion, one hundred one million, five hundred sixty-seven thousand, six hundred eighty".