2785993056 has 576 divisors, whose sum is σ = 10553518080. Its totient is φ = 708238080.

The previous prime is 2785992977. The next prime is 2785993057. The reversal of 2785993056 is 6503995872.

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

It is a junction number, because it is equal to n+sod(n) for n = 2785992993 and 2785993011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2785993057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59276425 + ... + 59276471.

It is an arithmetic number, because the mean of its divisors is an integer number (18322080).

Almost surely, 2^2785993056 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 2785993056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276759040).

2785993056 is an abundant number, since it is smaller than the sum of its proper divisors (7767525024).

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

2785993056 is an equidigital number, since it uses as much as digits as its factorization.

2785993056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 2785993056 is about 52782.5071022588. The cubic root of 2785993056 is about 1407.1055517034.

The spelling of 2785993056 in words is "two billion, seven hundred eighty-five million, nine hundred ninety-three thousand, fifty-six".