2578642 has 32 divisors (see below), whose sum is σ = 4608000. Its totient is φ = 1069200.

The previous prime is 2578621. The next prime is 2578643. The reversal of 2578642 is 2468752.

2578642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2578598 and 2578607.

It is not an unprimeable number, because it can be changed into a prime (2578643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12859 + ... + 13057.

It is an arithmetic number, because the mean of its divisors is an integer number (144000).

2^2578642 is an apocalyptic number.

2578642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2578642 is a deficient number, since it is larger than the sum of its proper divisors (2029358).

2578642 is a wasteful number, since it uses less digits than its factorization.

2578642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262.

The product of its digits is 26880, while the sum is 34.

The square root of 2578642 is about 1605.8150578445. The cubic root of 2578642 is about 137.1293289194.

The spelling of 2578642 in words is "two million, five hundred seventy-eight thousand, six hundred forty-two".