2624064 has 56 divisors (see below), whose sum is σ = 7071360. Its totient is φ = 858624.

The previous prime is 2624059. The next prime is 2624087. The reversal of 2624064 is 4604262.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2¹⁹ + 6⁴ + 2²¹ + 4² + 0 + 6⁴ + 4² .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15082 + ... + 15254.

2^2624064 is an apocalyptic number.

2624064 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 2624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535680).

2624064 is an abundant number, since it is smaller than the sum of its proper divisors (4447296).

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

2624064 is a wasteful number, since it uses less digits than its factorization.

2624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2624064 is about 1619.8962929768. The cubic root of 2624064 is about 137.9298109777.

It can be divided in two parts, 26 and 24064, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 2624064 in words is "two million, six hundred twenty-four thousand, sixty-four".