2985929568 has 144 divisors (see below), whose sum is σ = 8867529216. Its totient is φ = 988329600.

The previous prime is 2985929561. The next prime is 2985929587. The reversal of 2985929568 is 8659295892.

2985929568 is a `hidden beast` number, since 298 + 59 + 295 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985929561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172905 + ... + 1175447.

It is an arithmetic number, because the mean of its divisors is an integer number (61580064).

Almost surely, 2^2985929568 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 2985929568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433764608).

2985929568 is an abundant number, since it is smaller than the sum of its proper divisors (5881599648).

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

2985929568 is a wasteful number, since it uses less digits than its factorization.

2985929568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2699 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The square root of 2985929568 is about 54643.6599067083. The cubic root of 2985929568 is about 1439.9912499468.

The spelling of 2985929568 in words is "two billion, nine hundred eighty-five million, nine hundred twenty-nine thousand, five hundred sixty-eight".