2067520 has 112 divisors (see below), whose sum is σ = 6144768. Its totient is φ = 645120.

The previous prime is 2067517. The next prime is 2067529. The reversal of 2067520 is 257602.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2067491 and 2067500.

It is not an unprimeable number, because it can be changed into a prime (2067529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29085 + ... + 29155.

It is an arithmetic number, because the mean of its divisors is an integer number (54864).

2^2067520 is an apocalyptic number.

2067520 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 2067520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072384).

2067520 is an abundant number, since it is smaller than the sum of its proper divisors (4077248).

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

2067520 is a wasteful number, since it uses less digits than its factorization.

2067520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 2067520 is about 1437.8873391194. The cubic root of 2067520 is about 127.3942734961.

The spelling of 2067520 in words is "two million, sixty-seven thousand, five hundred twenty".