2579634 has 64 divisors (see below), whose sum is σ = 6266880. Its totient is φ = 784080.

The previous prime is 2579627. The next prime is 2579651. The reversal of 2579634 is 4369752.

Its product of digits (45360) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38469 + ... + 38535.

It is an arithmetic number, because the mean of its divisors is an integer number (97920).

2^2579634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2579634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133440).

2579634 is an abundant number, since it is smaller than the sum of its proper divisors (3687246).

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

2579634 is a wasteful number, since it uses less digits than its factorization.

2579634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 2579634 is about 1606.1239055565. The cubic root of 2579634 is about 137.1469111525.

The spelling of 2579634 in words is "two million, five hundred seventy-nine thousand, six hundred thirty-four".