2427916524 has 96 divisors (see below), whose sum is σ = 6463328256. Its totient is φ = 702166080.

The previous prime is 2427916487. The next prime is 2427916549. The reversal of 2427916524 is 4256197242.

It is a happy 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, 2510289 + ... + 2511255.

It is an arithmetic number, because the mean of its divisors is an integer number (67326336).

Almost surely, 2^2427916524 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 2427916524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231664128).

2427916524 is an abundant number, since it is smaller than the sum of its proper divisors (4035411732).

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

2427916524 is a wasteful number, since it uses less digits than its factorization.

2427916524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1833 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 2427916524 is about 49273.8929251587. The cubic root of 2427916524 is about 1344.0370795644.

The spelling of 2427916524 in words is "two billion, four hundred twenty-seven million, nine hundred sixteen thousand, five hundred twenty-four".