2839288320 has 480 divisors, whose sum is σ = 11375432640. Its totient is φ = 646840320.

The previous prime is 2839288301. The next prime is 2839288363. The reversal of 2839288320 is 238829382.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4308151 + ... + 4308809.

It is an arithmetic number, because the mean of its divisors is an integer number (23698818).

Almost surely, 2^2839288320 is an apocalyptic number.

2839288320 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 2839288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687716320).

2839288320 is an abundant number, since it is smaller than the sum of its proper divisors (8536144320).

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

2839288320 is a wasteful number, since it uses less digits than its factorization.

2839288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2839288320 is about 53284.9727409145. The cubic root of 2839288320 is about 1416.0214494501.

The spelling of 2839288320 in words is "two billion, eight hundred thirty-nine million, two hundred eighty-eight thousand, three hundred twenty".