2783820000 has 480 divisors, whose sum is σ = 10183840128. Its totient is φ = 661248000.

The previous prime is 2783819999. The next prime is 2783820007. The reversal of 2783820000 is 283872.

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 (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2783820000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2783820007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33539959 + ... + 33540041.

Almost surely, 2^2783820000 is an apocalyptic number.

2783820000 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 2783820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091920064).

2783820000 is an abundant number, since it is smaller than the sum of its proper divisors (7400020128).

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

2783820000 is a wasteful number, since it uses less digits than its factorization.

2783820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2783820000 is about 52761.9180849218. The cubic root of 2783820000 is about 1406.7396122286.

The spelling of 2783820000 in words is "two billion, seven hundred eighty-three million, eight hundred twenty thousand".