2782260000 has 720 divisors, whose sum is σ = 11283231960. Its totient is φ = 645120000.

The previous prime is 2782259983. The next prime is 2782260007. The reversal of 2782260000 is 622872.

2782260000 = 476³ + 477³ + ... + 499³.

2782260000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 20 ways, for example, as 2300545296 + 481714704 = 47964^2 + 21948^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782260007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67859980 + ... + 67860020.

Almost surely, 2^2782260000 is an apocalyptic number.

2782260000 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 2782260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641615980).

2782260000 is an abundant number, since it is smaller than the sum of its proper divisors (8500971960).

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

2782260000 is a wasteful number, since it uses less digits than its factorization.

2782260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2782260000 is about 52747.1326234896. The cubic root of 2782260000 is about 1406.4767930516.

Adding to 2782260000 its reverse (622872), we get a palindrome (2782882872).

The spelling of 2782260000 in words is "two billion, seven hundred eighty-two million, two hundred sixty thousand".