2065824 has 60 divisors (see below), whose sum is σ = 6083154. Its totient is φ = 687744.

The previous prime is 2065807. The next prime is 2065829. The reversal of 2065824 is 4285602.

2065824 is a `hidden beast` number, since 2 + 0 + 658 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1774224 + 291600 = 1332^2 + 540^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2065829) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2194 + ... + 2990.

2^2065824 is an apocalyptic number.

2065824 is a gapful number since it is divisible by the number (24) 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 2065824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041577).

2065824 is an abundant number, since it is smaller than the sum of its proper divisors (4017330).

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

2065824 is an equidigital number, since it uses as much as digits as its factorization.

2065824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2065824 is about 1437.2974639928. The cubic root of 2065824 is about 127.3594298519.

The spelling of 2065824 in words is "two million, sixty-five thousand, eight hundred twenty-four".