2613424 has 40 divisors (see below), whose sum is σ = 5713920. Its totient is φ = 1147200.

The previous prime is 2613397. The next prime is 2613449. The reversal of 2613424 is 4243162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2613395 and 2613404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5217 + ... + 5695.

It is an arithmetic number, because the mean of its divisors is an integer number (142848).

2^2613424 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 2613424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960).

2613424 is an abundant number, since it is smaller than the sum of its proper divisors (3100496).

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

2613424 is a wasteful number, since it uses less digits than its factorization.

2613424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 523 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 2613424 is about 1616.6087962151. The cubic root of 2613424 is about 137.7431334638.

Adding to 2613424 its reverse (4243162), we get a palindrome (6856586).

The spelling of 2613424 in words is "two million, six hundred thirteen thousand, four hundred twenty-four".