2785052160 has 720 divisors, whose sum is σ = 11291808528. Its totient is φ = 656916480.

The previous prime is 2785052159. The next prime is 2785052201. The reversal of 2785052160 is 612505872.

It is a happy number.

2785052160 is a `hidden beast` number, since 2 + 78 + 5 + 0 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75271662 + ... + 75271698.

Almost surely, 2^2785052160 is an apocalyptic number.

2785052160 is a gapful number since it is divisible by the number (20) 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 2785052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645904264).

2785052160 is an abundant number, since it is smaller than the sum of its proper divisors (8506756368).

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

2785052160 is an equidigital number, since it uses as much as digits as its factorization.

2785052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2785052160 is about 52773.5933966979. The cubic root of 2785052160 is about 1406.9471295503.

The spelling of 2785052160 in words is "two billion, seven hundred eighty-five million, fifty-two thousand, one hundred sixty".