2979834 has 64 divisors (see below), whose sum is σ = 7354368. Its totient is φ = 792000.

The previous prime is 2979833. The next prime is 2979841. The reversal of 2979834 is 4389792.

It is a d-powerful number, because it can be written as 2²¹ + 9 + 7⁷ + 9 + 8 + 3¹⁰ + 4³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19659 + ... + 19809.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

2^2979834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2979834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184).

2979834 is an abundant number, since it is smaller than the sum of its proper divisors (4374534).

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

2979834 is a wasteful number, since it uses less digits than its factorization.

2979834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203.

The product of its digits is 108864, while the sum is 42.

The square root of 2979834 is about 1726.2195688846. The cubic root of 2979834 is about 143.9010701668.

Subtracting from 2979834 its sum of digits (42), we obtain a palindrome (2979792).

The spelling of 2979834 in words is "two million, nine hundred seventy-nine thousand, eight hundred thirty-four".