2539828224 has 264 divisors, whose sum is σ = 7778927520. Its totient is φ = 827449344.

The previous prime is 2539828219. The next prime is 2539828229. The reversal of 2539828224 is 4228289352.

It is an interprime number because it is at equal distance from previous prime (2539828219) and next prime (2539828229).

It is a self number, because there is not a number n which added to its sum of digits gives 2539828224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2539828229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14681002 + ... + 14681174.

Almost surely, 2^2539828224 is an apocalyptic number.

2539828224 is a gapful number since it is divisible by the number (24) 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 2539828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889463760).

2539828224 is an abundant number, since it is smaller than the sum of its proper divisors (5239099296).

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

2539828224 is an equidigital number, since it uses as much as digits as its factorization.

2539828224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 237 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2539828224 is about 50396.7084639463. The cubic root of 2539828224 is about 1364.3782314946.

The spelling of 2539828224 in words is "two billion, five hundred thirty-nine million, eight hundred twenty-eight thousand, two hundred twenty-four".