2785484160 has 256 divisors, whose sum is σ = 9915379200. Its totient is φ = 739031040.

The previous prime is 2785484159. The next prime is 2785484167. The reversal of 2785484160 is 614845872.

2785484160 is a `hidden beast` number, since 2 + 7 + 8 + 5 + 484 + 160 = 666.

It is a super-2 number, since 2×2785484160² = 15517844011221811200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2785484167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5719437 + ... + 5719923.

It is an arithmetic number, because the mean of its divisors is an integer number (38731950).

Almost surely, 2^2785484160 is an apocalyptic number.

2785484160 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 2785484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957689600).

2785484160 is an abundant number, since it is smaller than the sum of its proper divisors (7129895040).

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

2785484160 is a wasteful number, since it uses less digits than its factorization.

2785484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2785484160 is about 52777.6861940726. The cubic root of 2785484160 is about 1407.0198714239.

The spelling of 2785484160 in words is "two billion, seven hundred eighty-five million, four hundred eighty-four thousand, one hundred sixty".