2819257056 has 384 divisors, whose sum is σ = 10590289920. Its totient is φ = 708134400.

The previous prime is 2819257019. The next prime is 2819257057. The reversal of 2819257056 is 6507529182.

2819257056 is a `hidden beast` number, since 28 + 1 + 9 + 2 + 570 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2819257057) 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, 2061685 + ... + 2063051.

It is an arithmetic number, because the mean of its divisors is an integer number (27578880).

Almost surely, 2^2819257056 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 2819257056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295144960).

2819257056 is an abundant number, since it is smaller than the sum of its proper divisors (7771032864).

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

2819257056 is a wasteful number, since it uses less digits than its factorization.

2819257056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2819257056 is about 53096.6765061619. The cubic root of 2819257056 is about 1412.6835629139.

The spelling of 2819257056 in words is "two billion, eight hundred nineteen million, two hundred fifty-seven thousand, fifty-six".