2085776784 has 320 divisors, whose sum is σ = 7804500480. Its totient is φ = 517570560.

The previous prime is 2085776761. The next prime is 2085776789. The reversal of 2085776784 is 4876775802.

It is a happy number.

2085776784 is a `hidden beast` number, since 2 + 0 + 8 + 577 + 67 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2085776784.

It is not an unprimeable number, because it can be changed into a prime (2085776789) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 666744 + ... + 669864.

It is an arithmetic number, because the mean of its divisors is an integer number (24389064).

Almost surely, 2^2085776784 is an apocalyptic number.

2085776784 is a gapful number since it is divisible by the number (24) 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 2085776784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902250240).

2085776784 is an abundant number, since it is smaller than the sum of its proper divisors (5718723696).

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

2085776784 is a wasteful number, since it uses less digits than its factorization.

2085776784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The square root of 2085776784 is about 45670.3052759668. The cubic root of 2085776784 is about 1277.6815093855.

The spelling of 2085776784 in words is "two billion, eighty-five million, seven hundred seventy-six thousand, seven hundred eighty-four".