2612424 has 64 divisors (see below), whose sum is σ = 7300800. Its totient is φ = 774144.

The previous prime is 2612419. The next prime is 2612429. The reversal of 2612424 is 4242162.

It is an interprime number because it is at equal distance from previous prime (2612419) and next prime (2612429).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2612424.

It is not an unprimeable number, because it can be changed into a prime (2612429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7584 + ... + 7920.

It is an arithmetic number, because the mean of its divisors is an integer number (114075).

2^2612424 is an apocalyptic number.

2612424 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 2612424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650400).

2612424 is an abundant number, since it is smaller than the sum of its proper divisors (4688376).

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

2612424 is a wasteful number, since it uses less digits than its factorization.

2612424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 2612424 is about 1616.2994772009. The cubic root of 2612424 is about 137.7255625548.

Adding to 2612424 its reverse (4242162), we get a palindrome (6854586).

The spelling of 2612424 in words is "two million, six hundred twelve thousand, four hundred twenty-four".