2168861760 has 336 divisors, whose sum is σ = 8192895984. Its totient is φ = 523321344.

The previous prime is 2168861759. The next prime is 2168861777. The reversal of 2168861760 is 671688612.

It is a happy number.

2168861760 is a `hidden beast` number, since 21 + 6 + 8 + 8 + 617 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 69755904 + 2099105856 = 8352^2 + 45816^2 .

It is a super-2 number, since 2×2168861760² = 9407922667980595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1983774 + ... + 1984866.

It is an arithmetic number, because the mean of its divisors is an integer number (24383619).

Almost surely, 2^2168861760 is an apocalyptic number.

2168861760 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 2168861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096447992).

2168861760 is an abundant number, since it is smaller than the sum of its proper divisors (6024034224).

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

2168861760 is a wasteful number, since it uses less digits than its factorization.

2168861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2168861760 is about 46571.0399282644. The cubic root of 2168861760 is about 1294.4261874471.

The spelling of 2168861760 in words is "two billion, one hundred sixty-eight million, eight hundred sixty-one thousand, seven hundred sixty".