2642624 has 28 divisors (see below), whose sum is σ = 5297424. Its totient is φ = 1307904.

The previous prime is 2642621. The next prime is 2642639. The reversal of 2642624 is 4262462.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 2⁹ + 6⁵ + 4⁵ + 2¹⁹ + 6⁵ + 2²¹ + 4⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 2642593 and 2642602.

It is not an unprimeable number, because it can be changed into a prime (2642621) by changing a digit.

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, 9917 + ... + 10179.

2^2642624 is an apocalyptic number.

It is an amenable number.

2642624 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2642624 is a wasteful number, since it uses less digits than its factorization.

2642624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 422 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 2642624 is about 1625.6149605611. The cubic root of 2642624 is about 138.2542397169.

The spelling of 2642624 in words is "two million, six hundred forty-two thousand, six hundred twenty-four".