2135271680 has 108 divisors (see below), whose sum is σ = 5399170812. Its totient is φ = 808980480.

The previous prime is 2135271647. The next prime is 2135271731. The reversal of 2135271680 is 861725312.

It is a happy number.

It is a Cunningham number, because it is equal to 46209²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 782209024 + 1353062656 = 27968^2 + 36784^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2135271680.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459770 + ... + 464390.

Almost surely, 2^2135271680 is an apocalyptic number.

2135271680 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 2135271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699585406).

2135271680 is an abundant number, since it is smaller than the sum of its proper divisors (3263899132).

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

2135271680 is an equidigital number, since it uses as much as digits as its factorization.

2135271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 2135271680 is about 46208.9999891796. Note that the first 4 decimals coincide. The cubic root of 2135271680 is about 1287.7089475191.

Adding to 2135271680 its reverse (861725312), we get a palindrome (2996996992).

The spelling of 2135271680 in words is "two billion, one hundred thirty-five million, two hundred seventy-one thousand, six hundred eighty".