2839269888 has 640 divisors, whose sum is σ = 10797642240. Its totient is φ = 716636160.

The previous prime is 2839269887. The next prime is 2839269929. The reversal of 2839269888 is 8889629382.

It is a super-2 number, since 2×2839269888² = 16122906993807065088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2839269887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46545378 + ... + 46545438.

It is an arithmetic number, because the mean of its divisors is an integer number (16871316).

Almost surely, 2^2839269888 is an apocalyptic number.

2839269888 is a gapful number since it is divisible by the number (28) 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 2839269888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398821120).

2839269888 is an abundant number, since it is smaller than the sum of its proper divisors (7958372352).

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

2839269888 is a wasteful number, since it uses less digits than its factorization.

2839269888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The square root of 2839269888 is about 53284.7997838033. The cubic root of 2839269888 is about 1416.0183852827.

The spelling of 2839269888 in words is "two billion, eight hundred thirty-nine million, two hundred sixty-nine thousand, eight hundred eighty-eight".