2578842 has 48 divisors (see below), whose sum is σ = 6482112. Its totient is φ = 725760.

The previous prime is 2578837. The next prime is 2578847. The reversal of 2578842 is 2488752.

It is a happy number.

2578842 is a `hidden beast` number, since 2 + 578 + 84 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2578837) and next prime (2578847).

Its product of digits (35840) is a multiple of the sum of its prime divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 2578797 and 2578806.

It is not an unprimeable number, because it can be changed into a prime (2578847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12117 + ... + 12327.

It is an arithmetic number, because the mean of its divisors is an integer number (135044).

2^2578842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2578842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241056).

2578842 is an abundant number, since it is smaller than the sum of its proper divisors (3903270).

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

2578842 is a wasteful number, since it uses less digits than its factorization.

2578842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 320 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2578842 is about 1605.8773303089. The cubic root of 2578842 is about 137.1328740873.

The spelling of 2578842 in words is "two million, five hundred seventy-eight thousand, eight hundred forty-two".