2827430144 has 216 divisors, whose sum is σ = 7404316416. Its totient is φ = 1064448000.

The previous prime is 2827430129. The next prime is 2827430159. The reversal of 2827430144 is 4410347282.

It is an interprime number because it is at equal distance from previous prime (2827430129) and next prime (2827430159).

It is a super-2 number, since 2×2827430144² = 15988722438399721472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4277174 + ... + 4277834.

Almost surely, 2^2827430144 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 2827430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702158208).

2827430144 is an abundant number, since it is smaller than the sum of its proper divisors (4576886272).

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

2827430144 is a wasteful number, since it uses less digits than its factorization.

2827430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 2827430144 is about 53173.5850211362. The cubic root of 2827430144 is about 1414.0473793881.

The spelling of 2827430144 in words is "two billion, eight hundred twenty-seven million, four hundred thirty thousand, one hundred forty-four".