2040064 has 36 divisors (see below), whose sum is σ = 4392556. Its totient is φ = 940032.

The previous prime is 2040053. The next prime is 2040089. The reversal of 2040064 is 4600402.

It can be written as a sum of positive squares in 2 ways, for example, as 102400 + 1937664 = 320^2 + 1392^2 .

It is a super-2 number, since 2×2040064² = 8323722248192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a d-powerful number, because it can be written as 2¹⁵ + 0 + 4⁸ + 0 + 0 + 6⁸ + 4⁹ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3022 + ... + 3634.

2^2040064 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 2040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196278).

2040064 is an abundant number, since it is smaller than the sum of its proper divisors (2352492).

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

2040064 is an equidigital number, since it uses as much as digits as its factorization.

2040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2040064 is about 1428.3080900142. The cubic root of 2040064 is about 126.8278403842.

Adding to 2040064 its reverse (4600402), we get a palindrome (6640466).

The spelling of 2040064 in words is "two million, forty thousand, sixty-four", and thus it is an eban number.