2840505696 has 432 divisors, whose sum is σ = 9990908928. Its totient is φ = 762048000.

The previous prime is 2840505671. The next prime is 2840505697. The reversal of 2840505696 is 6965050482.

2840505696 is a `hidden beast` number, since 2 + 84 + 0 + 5 + 0 + 569 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2840505697) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18811221 + ... + 18811371.

It is an arithmetic number, because the mean of its divisors is an integer number (23127104).

Almost surely, 2^2840505696 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 2840505696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995454464).

2840505696 is an abundant number, since it is smaller than the sum of its proper divisors (7150403232).

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

2840505696 is a wasteful number, since it uses less digits than its factorization.

2840505696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2840505696 is about 53296.3947748813. The cubic root of 2840505696 is about 1416.2237987740.

It can be divided in two parts, 2840 and 505696, that added together give a triangular number (508536 = T₁₀₀₈).

The spelling of 2840505696 in words is "two billion, eight hundred forty million, five hundred five thousand, six hundred ninety-six".