2830240000 has 405 divisors, whose sum is σ = 8667059247. Its totient is φ = 919296000.

The previous prime is 2830239977. The next prime is 2830240009. The reversal of 2830240000 is 420382.

2830240000 = 295³ + 296³ + ... + 370³.

It is a happy number.

The square root of 2830240000 is 53200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 221890816 + 2608349184 = 14896^2 + 51072^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 2830240000.

It is not an unprimeable number, because it can be changed into a prime (2830240009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 148959991 + ... + 148960009.

Almost surely, 2^2830240000 is an apocalyptic number.

2830240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2830240000 is the 53200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830240000

2830240000 is an abundant number, since it is smaller than the sum of its proper divisors (5836819247).

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

2830240000 is an frugal number, since it uses more digits than its factorization.

2830240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The cubic root of 2830240000 is about 1414.5156437184.

Adding to 2830240000 its reverse (420382), we get a palindrome (2830660382).

The spelling of 2830240000 in words is "two billion, eight hundred thirty million, two hundred forty thousand".