2785660416 has 320 divisors, whose sum is σ = 10284341760. Its totient is φ = 723271680.

The previous prime is 2785660399. The next prime is 2785660421. The reversal of 2785660416 is 6140665872.

2785660416 is a `hidden beast` number, since 2 + 78 + 566 + 0 + 4 + 16 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1063140 + ... + 1065756.

It is an arithmetic number, because the mean of its divisors is an integer number (32138568).

Almost surely, 2^2785660416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2785660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142170880).

2785660416 is an abundant number, since it is smaller than the sum of its proper divisors (7498681344).

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

2785660416 is a wasteful number, since it uses less digits than its factorization.

2785660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2785660416 is about 52779.3559642404. The cubic root of 2785660416 is about 1407.0495479480.

The spelling of 2785660416 in words is "two billion, seven hundred eighty-five million, six hundred sixty thousand, four hundred sixteen".