2558320 has 40 divisors (see below), whose sum is σ = 6021936. Its totient is φ = 1010688.

The previous prime is 2558317. The next prime is 2558321. The reversal of 2558320 is 238552.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558321) 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, 8899 + ... + 9181.

2^2558320 is an apocalyptic number.

2558320 is a gapful number since it is divisible by the number (20) 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 2558320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010968).

2558320 is an abundant number, since it is smaller than the sum of its proper divisors (3463616).

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

2558320 is a wasteful number, since it uses less digits than its factorization.

2558320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2558320 is about 1599.4749138389. The cubic root of 2558320 is about 136.7681446067.

It can be divided in two parts, 2558 and 320, that multiplied together give a triangular number (818560 = T₁₂₇₉).

The spelling of 2558320 in words is "two million, five hundred fifty-eight thousand, three hundred twenty".