2839089120 has 384 divisors, whose sum is σ = 10697121792. Its totient is φ = 619315200.

The previous prime is 2839089091. The next prime is 2839089133. The reversal of 2839089120 is 219809382.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 10103380 + ... + 10103660.

It is an arithmetic number, because the mean of its divisors is an integer number (27857088).

Almost surely, 2^2839089120 is an apocalyptic number.

2839089120 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 2839089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348560896).

2839089120 is an abundant number, since it is smaller than the sum of its proper divisors (7858032672).

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

2839089120 is a wasteful number, since it uses less digits than its factorization.

2839089120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 2839089120 is about 53283.1035132151. The cubic root of 2839089120 is about 1415.9883333968.

The spelling of 2839089120 in words is "two billion, eight hundred thirty-nine million, eighty-nine thousand, one hundred twenty".