2985645960 has 512 divisors, whose sum is σ = 11468390400. Its totient is φ = 689990400.

The previous prime is 2985645899. The next prime is 2985645983. The reversal of 2985645960 is 695465892.

It is a happy number.

2985645960 is a `hidden beast` number, since 29 + 8 + 564 + 59 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2985645897 and 2985645906.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 44561847 + ... + 44561913.

It is an arithmetic number, because the mean of its divisors is an integer number (22399200).

Almost surely, 2^2985645960 is an apocalyptic number.

2985645960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2985645960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734195200).

2985645960 is an abundant number, since it is smaller than the sum of its proper divisors (8482744440).

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

2985645960 is a wasteful number, since it uses less digits than its factorization.

2985645960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 2985645960 is about 54641.0647773266. The cubic root of 2985645960 is about 1439.9456576715.

The spelling of 2985645960 in words is "two billion, nine hundred eighty-five million, six hundred forty-five thousand, nine hundred sixty".