2893765056 has 448 divisors, whose sum is σ = 10377830400. Its totient is φ = 689762304.

The previous prime is 2893765051. The next prime is 2893765097. The reversal of 2893765056 is 6505673982.

It is a happy number.

2893765056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2893765051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7635075 + ... + 7635453.

It is an arithmetic number, because the mean of its divisors is an integer number (23164800).

Almost surely, 2^2893765056 is an apocalyptic number.

2893765056 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 2893765056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188915200).

2893765056 is an abundant number, since it is smaller than the sum of its proper divisors (7484065344).

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

2893765056 is a wasteful number, since it uses less digits than its factorization.

2893765056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The square root of 2893765056 is about 53793.7269205249. The cubic root of 2893765056 is about 1425.0204254382.

The spelling of 2893765056 in words is "two billion, eight hundred ninety-three million, seven hundred sixty-five thousand, fifty-six".