2895396768 has 288 divisors, whose sum is σ = 9510359040. Its totient is φ = 826974720.

The previous prime is 2895396761. The next prime is 2895396799. The reversal of 2895396768 is 8676935982.

2895396768 is a `hidden beast` number, since 28 + 9 + 539 + 6 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2895396761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5756005 + ... + 5756507.

It is an arithmetic number, because the mean of its divisors is an integer number (33022080).

Almost surely, 2^2895396768 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 2895396768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755179520).

2895396768 is an abundant number, since it is smaller than the sum of its proper divisors (6614962272).

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

2895396768 is a wasteful number, since it uses less digits than its factorization.

2895396768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 621 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 2895396768 is about 53808.8911612198. The cubic root of 2895396768 is about 1425.2882179712.

The spelling of 2895396768 in words is "two billion, eight hundred ninety-five million, three hundred ninety-six thousand, seven hundred sixty-eight".