2915040768 has 160 divisors (see below), whose sum is σ = 8013772800. Its totient is φ = 941137920.

The previous prime is 2915040767. The next prime is 2915040787. The reversal of 2915040768 is 8670405192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2915040767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10756473 + ... + 10756743.

It is an arithmetic number, because the mean of its divisors is an integer number (50086080).

Almost surely, 2^2915040768 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 2915040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006886400).

2915040768 is an abundant number, since it is smaller than the sum of its proper divisors (5098732032).

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

2915040768 is a wasteful number, since it uses less digits than its factorization.

2915040768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2915040768 is about 53991.1174916764. The cubic root of 2915040768 is about 1428.5042746642.

The spelling of 2915040768 in words is "two billion, nine hundred fifteen million, forty thousand, seven hundred sixty-eight".