2838957984 has 120 divisors (see below), whose sum is σ = 8366974308. Its totient is φ = 944317440.

The previous prime is 2838957973. The next prime is 2838958007. The reversal of 2838957984 is 4897598382.

2838957984 is a `hidden beast` number, since 28 + 38 + 9 + 579 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2827261584 + 11696400 = 53172^2 + 3420^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1712484 + ... + 1714140.

Almost surely, 2^2838957984 is an apocalyptic number.

2838957984 is a gapful number since it is divisible by the number (24) 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 2838957984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183487154).

2838957984 is an abundant number, since it is smaller than the sum of its proper divisors (5528016324).

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

2838957984 is a wasteful number, since it uses less digits than its factorization.

2838957984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2323 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The square root of 2838957984 is about 53281.8729400534. The cubic root of 2838957984 is about 1415.9665318145.

The spelling of 2838957984 in words is "two billion, eight hundred thirty-eight million, nine hundred fifty-seven thousand, nine hundred eighty-four".