2782082592 has 48 divisors (see below), whose sum is σ = 8114410080. Its totient is φ = 927360576.

The previous prime is 2782082591. The next prime is 2782082603. The reversal of 2782082592 is 2952802872.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2782082591) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1609138 + ... + 1610865.

It is an arithmetic number, because the mean of its divisors is an integer number (169050210).

Almost surely, 2^2782082592 is an apocalyptic number.

It is an amenable number.

2782082592 is an abundant number, since it is smaller than the sum of its proper divisors (5332327488).

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

2782082592 is a wasteful number, since it uses less digits than its factorization.

2782082592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220022 (or 3220008 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2782082592 is about 52745.4509128512. The cubic root of 2782082592 is about 1406.4468982253.

The spelling of 2782082592 in words is "two billion, seven hundred eighty-two million, eighty-two thousand, five hundred ninety-two".