2135140 has 48 divisors (see below), whose sum is σ = 5209344. Its totient is φ = 720000.

The previous prime is 2135117. The next prime is 2135141. The reversal of 2135140 is 415312.

It is not an unprimeable number, because it can be changed into a prime (2135141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14065 + ... + 14215.

It is an arithmetic number, because the mean of its divisors is an integer number (108528).

2^2135140 is an apocalyptic number.

2135140 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 2135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604672).

2135140 is an abundant number, since it is smaller than the sum of its proper divisors (3074204).

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

2135140 is a wasteful number, since it uses less digits than its factorization.

2135140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2135140 is about 1461.2118258487. The cubic root of 2135140 is about 128.7682476414.

The spelling of 2135140 in words is "two million, one hundred thirty-five thousand, one hundred forty".