2712424 has 32 divisors (see below), whose sum is σ = 5977440. Its totient is φ = 1137600.

The previous prime is 2712419. The next prime is 2712427. The reversal of 2712424 is 4242172.

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 = 2712395 and 2712404.

It is not an unprimeable number, because it can be changed into a prime (2712427) 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, 42 + ... + 2329.

It is an arithmetic number, because the mean of its divisors is an integer number (186795).

2^2712424 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 2712424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988720).

2712424 is an abundant number, since it is smaller than the sum of its proper divisors (3265016).

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

2712424 is a wasteful number, since it uses less digits than its factorization.

2712424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2397 counting only the distinct ones).

The product of its digits is 896, while the sum is 22.

The square root of 2712424 is about 1646.9438363223. The cubic root of 2712424 is about 139.4609200963.

Adding to 2712424 its reverse (4242172), we get a palindrome (6954596).

It can be divided in two parts, 2712 and 424, that added together give a square (3136 = 56²).

The spelling of 2712424 in words is "two million, seven hundred twelve thousand, four hundred twenty-four".