2840755968 has 288 divisors, whose sum is σ = 8973977600. Its totient is φ = 883851264.

The previous prime is 2840755961. The next prime is 2840755969. The reversal of 2840755968 is 8695570482.

2840755968 is a `hidden beast` number, since 2 + 8 + 40 + 7 + 5 + 596 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2840755961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12738705 + ... + 12738927.

Almost surely, 2^2840755968 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 2840755968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486988800).

2840755968 is an abundant number, since it is smaller than the sum of its proper divisors (6133221632).

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

2840755968 is a wasteful number, since it uses less digits than its factorization.

2840755968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 2840755968 is about 53298.7426493346. The cubic root of 2840755968 is about 1416.2653912217.

The spelling of 2840755968 in words is "two billion, eight hundred forty million, seven hundred fifty-five thousand, nine hundred sixty-eight".