2782944000 has 288 divisors, whose sum is σ = 10273798080. Its totient is φ = 741888000.

The previous prime is 2782943993. The next prime is 2782944071. The reversal of 2782944000 is 4492872.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862390 + ... + 865610.

It is an arithmetic number, because the mean of its divisors is an integer number (35672910).

Almost surely, 2^2782944000 is an apocalyptic number.

2782944000 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 2782944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136899040).

2782944000 is an abundant number, since it is smaller than the sum of its proper divisors (7490854080).

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

2782944000 is an equidigital number, since it uses as much as digits as its factorization.

2782944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2782944000 is about 52753.6159898068. The cubic root of 2782944000 is about 1406.5920412432.

The spelling of 2782944000 in words is "two billion, seven hundred eighty-two million, nine hundred forty-four thousand".