2579220 has 144 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 557568.

The previous prime is 2579209. The next prime is 2579221. The reversal of 2579220 is 229752.

It is a happy number.

2579220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2579221) 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 47 ways as a sum of consecutive naturals, for example, 28936 + ... + 29024.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

2^2579220 is an apocalyptic number.

2579220 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 2579220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

2579220 is an abundant number, since it is smaller than the sum of its proper divisors (6855660).

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

2579220 is a wasteful number, since it uses less digits than its factorization.

2579220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2579220 is about 1605.9950186722. The cubic root of 2579220 is about 137.1395739541.

The spelling of 2579220 in words is "two million, five hundred seventy-nine thousand, two hundred twenty".