2479536 has 60 divisors (see below), whose sum is σ = 7070232. Its totient is φ = 811008.

The previous prime is 2479523. The next prime is 2479541. The reversal of 2479536 is 6359742.

2479536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2479536² = 12296197550592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹⁹ + 4³ + 7 + 9³ + 5⁹ + 3³ + 6⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 2479536.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9520 + ... + 9776.

2^2479536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2479536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535116).

2479536 is an abundant number, since it is smaller than the sum of its proper divisors (4590696).

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

2479536 is a wasteful number, since it uses less digits than its factorization.

2479536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 329 counting only the distinct ones).

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

The square root of 2479536 is about 1574.6542477636. The cubic root of 2479536 is about 135.3495468346.

The spelling of 2479536 in words is "two million, four hundred seventy-nine thousand, five hundred thirty-six".