2556642 has 16 divisors (see below), whose sum is σ = 5578272. Its totient is φ = 774720.

The previous prime is 2556641. The next prime is 2556661. The reversal of 2556642 is 2466552.

It is a d-powerful number, because it can be written as 2³ + 5⁷ + 5⁹ + 6² + 6² + 4⁵ + 2¹⁹ .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2556641) 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, 19303 + ... + 19434.

It is an arithmetic number, because the mean of its divisors is an integer number (348642).

2^2556642 is an apocalyptic number.

2556642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2556642 is an abundant number, since it is smaller than the sum of its proper divisors (3021630).

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

2556642 is a wasteful number, since it uses less digits than its factorization.

2556642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38753.

The product of its digits is 14400, while the sum is 30.

The square root of 2556642 is about 1598.9502806529. The cubic root of 2556642 is about 136.7382360286.

The spelling of 2556642 in words is "two million, five hundred fifty-six thousand, six hundred forty-two".