2579742 has 64 divisors (see below), whose sum is σ = 6462720. Its totient is φ = 756000.

The previous prime is 2579741. The next prime is 2579777. The reversal of 2579742 is 2479752.

It is a junction number, because it is equal to n+sod(n) for n = 2579697 and 2579706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2579741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25492 + ... + 25592.

It is an arithmetic number, because the mean of its divisors is an integer number (100980).

2^2579742 is an apocalyptic number.

2579742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2579742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231360).

2579742 is an abundant number, since it is smaller than the sum of its proper divisors (3882978).

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

2579742 is a wasteful number, since it uses less digits than its factorization.

2579742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 2579742 is about 1606.1575265210. The cubic root of 2579742 is about 137.1488250751.

It can be divided in two parts, 2579 and 742, that added together give a triangular number (3321 = T₈₁).

The spelling of 2579742 in words is "two million, five hundred seventy-nine thousand, seven hundred forty-two".