2983905120 has 384 divisors, whose sum is σ = 11252183040. Its totient is φ = 650280960.

The previous prime is 2983905079. The next prime is 2983905131. The reversal of 2983905120 is 215093892.

2983905120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2983905120⁴ (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11010585 + ... + 11010855.

It is an arithmetic number, because the mean of its divisors is an integer number (29302560).

Almost surely, 2^2983905120 is an apocalyptic number.

2983905120 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 2983905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626091520).

2983905120 is an abundant number, since it is smaller than the sum of its proper divisors (8268277920).

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

2983905120 is a wasteful number, since it uses less digits than its factorization.

2983905120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 2983905120 is about 54625.1326771844. The cubic root of 2983905120 is about 1439.6657403173.

The spelling of 2983905120 in words is "two billion, nine hundred eighty-three million, nine hundred five thousand, one hundred twenty".