2135520 has 72 divisors (see below), whose sum is σ = 7292376. Its totient is φ = 569088.

The previous prime is 2135519. The next prime is 2135521. The reversal of 2135520 is 255312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2135519) and next prime (2135521).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2135493 and 2135502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 699 + ... + 2181.

It is an arithmetic number, because the mean of its divisors is an integer number (101283).

2^2135520 is an apocalyptic number.

2135520 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 2135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646188).

2135520 is an abundant number, since it is smaller than the sum of its proper divisors (5156856).

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

2135520 is a wasteful number, since it uses less digits than its factorization.

2135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2135520 is about 1461.3418491236. The cubic root of 2135520 is about 128.7758863336.

The spelling of 2135520 in words is "two million, one hundred thirty-five thousand, five hundred twenty".