2830267440 has 1440 divisors, whose sum is σ = 14213465280. Its totient is φ = 510935040.

The previous prime is 2830267421. The next prime is 2830267477. The reversal of 2830267440 is 447620382.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2830267395 and 2830267404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 166486312 + ... + 166486328.

It is an arithmetic number, because the mean of its divisors is an integer number (9870462).

Almost surely, 2^2830267440 is an apocalyptic number.

2830267440 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 2830267440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7106732640).

2830267440 is an abundant number, since it is smaller than the sum of its proper divisors (11383197840).

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

2830267440 is a wasteful number, since it uses less digits than its factorization.

2830267440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2830267440 is about 53200.2578941118. The cubic root of 2830267440 is about 1414.5202150838.

The spelling of 2830267440 in words is "two billion, eight hundred thirty million, two hundred sixty-seven thousand, four hundred forty".