2135711760 has 160 divisors (see below), whose sum is σ = 8148645120. Its totient is φ = 450607104.

The previous prime is 2135711741. The next prime is 2135711779. The reversal of 2135711760 is 671175312.

It is an interprime number because it is at equal distance from previous prime (2135711741) and next prime (2135711779).

It is a super-2 number, since 2×2135711760² = 9122529443604595200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 27055 + ... + 70734.

It is an arithmetic number, because the mean of its divisors is an integer number (50929032).

Almost surely, 2^2135711760 is an apocalyptic number.

2135711760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135711760 is an abundant number, since it is smaller than the sum of its proper divisors (6012933360).

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

2135711760 is a wasteful number, since it uses less digits than its factorization.

2135711760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97825 (or 97819 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 2135711760 is about 46213.7615867828. The cubic root of 2135711760 is about 1287.7974071487.

The spelling of 2135711760 in words is "two billion, one hundred thirty-five million, seven hundred eleven thousand, seven hundred sixty".