2135083680 has 144 divisors (see below), whose sum is σ = 7321545504. Its totient is φ = 566576640.

The previous prime is 2135083679. The next prime is 2135083693. The reversal of 2135083680 is 863805312.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 300327 + ... + 307353.

It is an arithmetic number, because the mean of its divisors is an integer number (50844066).

Almost surely, 2^2135083680 is an apocalyptic number.

2135083680 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 2135083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660772752).

2135083680 is an abundant number, since it is smaller than the sum of its proper divisors (5186461824).

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

2135083680 is a wasteful number, since it uses less digits than its factorization.

2135083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259 (or 7248 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2135083680 is about 46206.9657086461. The cubic root of 2135083680 is about 1287.6711542975.

Adding to 2135083680 its reverse (863805312), we get a palindrome (2998888992).

The spelling of 2135083680 in words is "two billion, one hundred thirty-five million, eighty-three thousand, six hundred eighty".