2789223984 has 280 divisors, whose sum is σ = 8714165472. Its totient is φ = 862202880.

The previous prime is 2789223971. The next prime is 2789223989. The reversal of 2789223984 is 4893229872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2789223984.

It is not an unprimeable number, because it can be changed into a prime (2789223989) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 9925924 + ... + 9926204.

Almost surely, 2^2789223984 is an apocalyptic number.

2789223984 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 2789223984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357082736).

2789223984 is an abundant number, since it is smaller than the sum of its proper divisors (5924941488).

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

2789223984 is a wasteful number, since it uses less digits than its factorization.

2789223984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 346 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2789223984 is about 52813.1042829334. The cubic root of 2789223984 is about 1407.6492836663.

The spelling of 2789223984 in words is "two billion, seven hundred eighty-nine million, two hundred twenty-three thousand, nine hundred eighty-four".