2648624 has 40 divisors (see below), whose sum is σ = 5691600. Its totient is φ = 1184000.

The previous prime is 2648623. The next prime is 2648629. The reversal of 2648624 is 4268462.

It is a happy number.

It is a d-powerful number, because it can be written as 2¹³ + 6⁴ + 4² + 8⁷ + 6⁴ + 2¹⁹ + 4⁷ .

It is not an unprimeable number, because it can be changed into a prime (2648623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17702 + ... + 17850.

It is an arithmetic number, because the mean of its divisors is an integer number (142290).

2^2648624 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 2648624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845800).

2648624 is an abundant number, since it is smaller than the sum of its proper divisors (3042976).

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

2648624 is a wasteful number, since it uses less digits than its factorization.

2648624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 2648624 is about 1627.4593696925. The cubic root of 2648624 is about 138.3587946876.

It can be divided in two parts, 264 and 8624, that added together give a palindrome (8888).

The spelling of 2648624 in words is "two million, six hundred forty-eight thousand, six hundred twenty-four".