2622624 has 48 divisors (see below), whose sum is σ = 7293888. Its totient is φ = 822272.

The previous prime is 2622623. The next prime is 2622637. The reversal of 2622624 is 4262262.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2622594 and 2622603.

It is not an unprimeable number, because it can be changed into a prime (2622623) by changing a digit.

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, 829 + ... + 2435.

It is an arithmetic number, because the mean of its divisors is an integer number (151956).

2^2622624 is an apocalyptic number.

2622624 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 2622624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646944).

2622624 is an abundant number, since it is smaller than the sum of its proper divisors (4671264).

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

2622624 is a wasteful number, since it uses less digits than its factorization.

2622624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1629 counting only the distinct ones).

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

The square root of 2622624 is about 1619.4517590839. The cubic root of 2622624 is about 137.9045759134.

Adding to 2622624 its reverse (4262262), we get a palindrome (6884886).

The spelling of 2622624 in words is "two million, six hundred twenty-two thousand, six hundred twenty-four".