2558624 has 24 divisors (see below), whose sum is σ = 5175828. Its totient is φ = 1244160.

The previous prime is 2558609. The next prime is 2558639. The reversal of 2558624 is 4268552.

It is an interprime number because it is at equal distance from previous prime (2558609) and next prime (2558639).

It can be written as a sum of positive squares in 2 ways, for example, as 2347024 + 211600 = 1532^2 + 460^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2¹¹ + 5⁷ + 5⁹ + 8 + 6 + 2¹⁹ + 4⁵ .

It is a plaindrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104 + ... + 2264.

2^2558624 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 2558624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587914).

2558624 is an abundant number, since it is smaller than the sum of its proper divisors (2617204).

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

2558624 is a wasteful number, since it uses less digits than its factorization.

2558624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2200 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 2558624 is about 1599.5699422032. The cubic root of 2558624 is about 136.7735616863.

The spelling of 2558624 in words is "two million, five hundred fifty-eight thousand, six hundred twenty-four".