2032520 has 96 divisors (see below), whose sum is σ = 5725080. Its totient is φ = 645120.

The previous prime is 2032519. The next prime is 2032529. The reversal of 2032520 is 252302.

It can be written as a sum of positive squares in 4 ways, for example, as 1350244 + 682276 = 1162^2 + 826^2 .

It is a super-2 number, since 2×2032520² = 8262275100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2032495 and 2032504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33290 + ... + 33350.

2^2032520 is an apocalyptic number.

2032520 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 2032520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862540).

2032520 is an abundant number, since it is smaller than the sum of its proper divisors (3692560).

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

2032520 is a wasteful number, since it uses less digits than its factorization.

2032520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2032520 is about 1425.6647572273. The cubic root of 2032520 is about 126.6713140800.

Adding to 2032520 its reverse (252302), we get a palindrome (2284822).

It can be divided in two parts, 2032 and 520, that added together give a palindrome (2552).

The spelling of 2032520 in words is "two million, thirty-two thousand, five hundred twenty".