2853785088 has 480 divisors, whose sum is σ = 10747883520. Its totient is φ = 739307520.

The previous prime is 2853785083. The next prime is 2853785111. The reversal of 2853785088 is 8805873582.

It is a happy number.

2853785088 is a `hidden beast` number, since 28 + 537 + 8 + 5 + 0 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2853785083) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7450945 + ... + 7451327.

It is an arithmetic number, because the mean of its divisors is an integer number (22391424).

Almost surely, 2^2853785088 is an apocalyptic number.

2853785088 is a gapful number since it is divisible by the number (28) 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 2853785088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373941760).

2853785088 is an abundant number, since it is smaller than the sum of its proper divisors (7894098432).

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

2853785088 is a wasteful number, since it uses less digits than its factorization.

2853785088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The square root of 2853785088 is about 53420.8300946363. The cubic root of 2853785088 is about 1418.4273218875.

The spelling of 2853785088 in words is "two billion, eight hundred fifty-three million, seven hundred eighty-five thousand, eighty-eight".