2135680 has 64 divisors (see below), whose sum is σ = 5287680. Its totient is φ = 824320.

The previous prime is 2135669. The next prime is 2135687. The reversal of 2135680 is 865312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2135680³ = 29223336347959296000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an Ulam number.

It is a cake number, because a cake can be divided into 2135680 parts by 234 planar cuts.

It is not an unprimeable number, because it can be changed into a prime (2135687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30045 + ... + 30115.

It is an arithmetic number, because the mean of its divisors is an integer number (82620).

2^2135680 is an apocalyptic number.

2135680 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 2135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643840).

2135680 is an abundant number, since it is smaller than the sum of its proper divisors (3152000).

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

2135680 is an equidigital number, since it uses as much as digits as its factorization.

2135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2135680 is about 1461.3965923048. The cubic root of 2135680 is about 128.7791023539.

The spelling of 2135680 in words is "two million, one hundred thirty-five thousand, six hundred eighty".