2479152 has 80 divisors (see below), whose sum is σ = 7187040. Its totient is φ = 731136.

The previous prime is 2479151. The next prime is 2479171. The reversal of 2479152 is 2519742.

It is a super-2 number, since 2×2479152² = 12292389278208, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹⁵ + 4⁹ + 7⁴ + 9⁴ + 1 + 5⁷ + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (2479151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18028 + ... + 18164.

It is an arithmetic number, because the mean of its divisors is an integer number (89838).

2^2479152 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 2479152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593520).

2479152 is an abundant number, since it is smaller than the sum of its proper divisors (4707888).

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

2479152 is a wasteful number, since it uses less digits than its factorization.

2479152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 2479152 is about 1574.5323115135. The cubic root of 2479152 is about 135.3425593835.

The spelling of 2479152 in words is "two million, four hundred seventy-nine thousand, one hundred fifty-two".