2479500 has 144 divisors (see below), whose sum is σ = 8517600. Its totient is φ = 604800.

The previous prime is 2479493. The next prime is 2479507. The reversal of 2479500 is 59742.

2479500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2479493) and next prime (2479507).

It is a super-2 number, since 2×2479500² = 12295840500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2479507) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 85486 + ... + 85514.

It is an arithmetic number, because the mean of its divisors is an integer number (59150).

2^2479500 is an apocalyptic number.

2479500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2479500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258800).

2479500 is an abundant number, since it is smaller than the sum of its proper divisors (6038100).

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

2479500 is a wasteful number, since it uses less digits than its factorization.

2479500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2479500 is about 1574.6428166413. The cubic root of 2479500 is about 135.3488917917.

It can be divided in two parts, 24 and 79500, that added together give a square (79524 = 282²).

The spelling of 2479500 in words is "two million, four hundred seventy-nine thousand, five hundred".