2782400085 has 16 divisors (see below), whose sum is σ = 4946489280. Its totient is φ = 1483946640.

The previous prime is 2782400077. The next prime is 2782400107. The reversal of 2782400085 is 5800042872.

It is a happy number.

It is not a de Polignac number, because 2782400085 - 2³ = 2782400077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10305051 + ... + 10305320.

It is an arithmetic number, because the mean of its divisors is an integer number (309155580).

Almost surely, 2^2782400085 is an apocalyptic number.

It is an amenable number.

2782400085 is a deficient number, since it is larger than the sum of its proper divisors (2164089195).

2782400085 is a wasteful number, since it uses less digits than its factorization.

2782400085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20610385 (or 20610379 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2782400085 is about 52748.4604988620. The cubic root of 2782400085 is about 1406.5003977225.

The spelling of 2782400085 in words is "two billion, seven hundred eighty-two million, four hundred thousand, eighty-five".