2558496 has 48 divisors (see below), whose sum is σ = 6955200. Its totient is φ = 822528.

The previous prime is 2558489. The next prime is 2558503. The reversal of 2558496 is 6948552.

It is an interprime number because it is at equal distance from previous prime (2558489) and next prime (2558503).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2325 + ... + 3243.

It is an arithmetic number, because the mean of its divisors is an integer number (144900).

2^2558496 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 2558496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477600).

2558496 is an abundant number, since it is smaller than the sum of its proper divisors (4396704).

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

2558496 is a wasteful number, since it uses less digits than its factorization.

2558496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 953 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 2558496 is about 1599.5299309485. The cubic root of 2558496 is about 136.7712808630.

The spelling of 2558496 in words is "two million, five hundred fifty-eight thousand, four hundred ninety-six".