2558424 has 48 divisors (see below), whose sum is σ = 7038360. Its totient is φ = 774400.

The previous prime is 2558419. The next prime is 2558429. The reversal of 2558424 is 4248552.

It is an interprime number because it is at equal distance from previous prime (2558419) and next prime (2558429).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2558391 and 2558400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2464 + ... + 3344.

2^2558424 is an apocalyptic number.

2558424 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 2558424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519180).

2558424 is an abundant number, since it is smaller than the sum of its proper divisors (4479936).

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

2558424 is a wasteful number, since it uses less digits than its factorization.

2558424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 897 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 2558424 is about 1599.5074241778. The cubic root of 2558424 is about 136.7699978664.

The spelling of 2558424 in words is "two million, five hundred fifty-eight thousand, four hundred twenty-four".