2782734080 has 144 divisors (see below), whose sum is σ = 8066278080. Its totient is φ = 897908736.

The previous prime is 2782734077. The next prime is 2782734089. The reversal of 2782734080 is 804372872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782734089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143186 + ... + 161454.

It is an arithmetic number, because the mean of its divisors is an integer number (56015820).

Almost surely, 2^2782734080 is an apocalyptic number.

2782734080 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 2782734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033139040).

2782734080 is an abundant number, since it is smaller than the sum of its proper divisors (5283544000).

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

2782734080 is a wasteful number, since it uses less digits than its factorization.

2782734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18314 (or 18300 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The square root of 2782734080 is about 52751.6263256404. The cubic root of 2782734080 is about 1406.5566735145.

The spelling of 2782734080 in words is "two billion, seven hundred eighty-two million, seven hundred thirty-four thousand, eighty".