2782110240 has 720 divisors, whose sum is σ = 12336636312. Its totient is φ = 585252864.

The previous prime is 2782110187. The next prime is 2782110257. The reversal of 2782110240 is 420112872.

It can be written as a sum of positive squares in 4 ways, for example, as 1409852304 + 1372257936 = 37548^2 + 37044^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8255352 + ... + 8255688.

Almost surely, 2^2782110240 is an apocalyptic number.

2782110240 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 2782110240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168318156).

2782110240 is an abundant number, since it is smaller than the sum of its proper divisors (9554526072).

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

2782110240 is a wasteful number, since it uses less digits than its factorization.

2782110240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2782110240 is about 52745.7130011530. The cubic root of 2782110240 is about 1406.4515572428.

The spelling of 2782110240 in words is "two billion, seven hundred eighty-two million, one hundred ten thousand, two hundred forty".