2782042240 has 32 divisors (see below), whose sum is σ = 6650821260. Its totient is φ = 1112816640.

The previous prime is 2782042217. The next prime is 2782042279. The reversal of 2782042240 is 422402872.

It can be written as a sum of positive squares in 2 ways, for example, as 2532907584 + 249134656 = 50328^2 + 15784^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2172831 + ... + 2174110.

Almost surely, 2^2782042240 is an apocalyptic number.

2782042240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2782042240 is an abundant number, since it is smaller than the sum of its proper divisors (3868779020).

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

2782042240 is an equidigital number, since it uses as much as digits as its factorization.

2782042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346960 (or 4346948 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The square root of 2782042240 is about 52745.0683950642. The cubic root of 2782042240 is about 1406.4400983769.

The spelling of 2782042240 in words is "two billion, seven hundred eighty-two million, forty-two thousand, two hundred forty".