2032512 has 64 divisors (see below), whose sum is σ = 5548800. Its totient is φ = 658944.

The previous prime is 2032507. The next prime is 2032519. The reversal of 2032512 is 2152302.

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

It is a super-2 number, since 2×2032512² = 8262210060288, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2032491 and 2032500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032519) 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, 25689 + ... + 25767.

It is an arithmetic number, because the mean of its divisors is an integer number (86700).

2^2032512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774400).

2032512 is an abundant number, since it is smaller than the sum of its proper divisors (3516288).

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

2032512 is an equidigital number, since it uses as much as digits as its factorization.

2032512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2032512 is about 1425.6619515159. The cubic root of 2032512 is about 126.6711478870.

Adding to 2032512 its reverse (2152302), we get a palindrome (4184814).

The spelling of 2032512 in words is "two million, thirty-two thousand, five hundred twelve".