2782740480 has 360 divisors, whose sum is σ = 9786061152. Its totient is φ = 674758656.

The previous prime is 2782740469. The next prime is 2782740529. The reversal of 2782740480 is 840472872.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 41533407 + ... + 41533473.

Almost surely, 2^2782740480 is an apocalyptic number.

2782740480 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 2782740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893030576).

2782740480 is an abundant number, since it is smaller than the sum of its proper divisors (7003320672).

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

2782740480 is an equidigital number, since it uses as much as digits as its factorization.

2782740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 2782740480 is about 52751.6869872424. The cubic root of 2782740480 is about 1406.5577518252.

The spelling of 2782740480 in words is "two billion, seven hundred eighty-two million, seven hundred forty thousand, four hundred eighty".