2985589152 has 576 divisors, whose sum is σ = 11333468160. Its totient is φ = 747242496.

The previous prime is 2985589091. The next prime is 2985589153. The reversal of 2985589152 is 2519855892.

2985589152 is a `hidden beast` number, since 2 + 9 + 8 + 5 + 589 + 1 + 52 = 666.

2985589152 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2985589153) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23508513 + ... + 23508639.

It is an arithmetic number, because the mean of its divisors is an integer number (19676160).

Almost surely, 2^2985589152 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 2985589152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5666734080).

2985589152 is an abundant number, since it is smaller than the sum of its proper divisors (8347879008).

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

2985589152 is a wasteful number, since it uses less digits than its factorization.

2985589152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 175 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 54.

The square root of 2985589152 is about 54640.5449460380. The cubic root of 2985589152 is about 1439.9365249798.

The spelling of 2985589152 in words is "two billion, nine hundred eighty-five million, five hundred eighty-nine thousand, one hundred fifty-two".