2830038120 has 768 divisors, whose sum is σ = 12108096000. Its totient is φ = 568995840.

The previous prime is 2830038097. The next prime is 2830038121. The reversal of 2830038120 is 218300382.

2830038120 is a `hidden beast` number, since 283 + 0 + 0 + 381 + 2 + 0 = 666.

2830038120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2830038121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65814819 + ... + 65814861.

It is an arithmetic number, because the mean of its divisors is an integer number (15765750).

Almost surely, 2^2830038120 is an apocalyptic number.

2830038120 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 2830038120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054048000).

2830038120 is an abundant number, since it is smaller than the sum of its proper divisors (9278057880).

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

2830038120 is a wasteful number, since it uses less digits than its factorization.

2830038120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2830038120 is about 53198.1025977431. The cubic root of 2830038120 is about 1414.4820106216.

The spelling of 2830038120 in words is "two billion, eight hundred thirty million, thirty-eight thousand, one hundred twenty".