2783200000 has 324 divisors, whose sum is σ = 8191444464. Its totient is φ = 940800000.

The previous prime is 2783199997. The next prime is 2783200001. The reversal of 2783200000 is 23872.

It is a happy number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2783200001) 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 35 ways as a sum of consecutive naturals, for example, 39199965 + ... + 39200035.

It is an arithmetic number, because the mean of its divisors is an integer number (25282236).

Almost surely, 2^2783200000 is an apocalyptic number.

2783200000 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 2783200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095722232).

2783200000 is an abundant number, since it is smaller than the sum of its proper divisors (5408244464).

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

2783200000 is an frugal number, since it uses more digits than its factorization.

2783200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2783200000 is about 52756.0423079670. The cubic root of 2783200000 is about 1406.6351702129.

Adding to 2783200000 its reverse (23872), we get a palindrome (2783223872).

The spelling of 2783200000 in words is "two billion, seven hundred eighty-three million, two hundred thousand".