2789557056 has 560 divisors, whose sum is σ = 10037478528. Its totient is φ = 754790400.

The previous prime is 2789557051. The next prime is 2789557063. The reversal of 2789557056 is 6507559872.

2789557056 is a `hidden beast` number, since 2 + 7 + 89 + 557 + 0 + 5 + 6 = 666.

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 = 2789556993 and 2789557011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2789557051) 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 79 ways as a sum of consecutive naturals, for example, 39289501 + ... + 39289571.

Almost surely, 2^2789557056 is an apocalyptic number.

2789557056 is a gapful number since it is divisible by the number (26) 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 2789557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018739264).

2789557056 is an abundant number, since it is smaller than the sum of its proper divisors (7247921472).

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

2789557056 is a wasteful number, since it uses less digits than its factorization.

2789557056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The square root of 2789557056 is about 52816.2574971003. The cubic root of 2789557056 is about 1407.7053123806.

The spelling of 2789557056 in words is "two billion, seven hundred eighty-nine million, five hundred fifty-seven thousand, fifty-six".