2985660000 has 600 divisors, whose sum is σ = 11668983480. Its totient is φ = 746496000.

The previous prime is 2985659993. The next prime is 2985660011. The reversal of 2985660000 is 665892.

2985660000 is a `hidden beast` number, since 2 + 98 + 566 + 0 + 0 + 0 + 0 = 666.

2985660000 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 tau number, because it is divible by the number of its divisors (600).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 30779952 + ... + 30780048.

Almost surely, 2^2985660000 is an apocalyptic number.

2985660000 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 2985660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5834491740).

2985660000 is an abundant number, since it is smaller than the sum of its proper divisors (8683323480).

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

2985660000 is an equidigital number, since it uses as much as digits as its factorization.

2985660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2985660000 is about 54641.1932519779. The cubic root of 2985660000 is about 1439.9479147828.

The spelling of 2985660000 in words is "two billion, nine hundred eighty-five million, six hundred sixty thousand".