2985600000 has 264 divisors, whose sum is σ = 9978486336. Its totient is φ = 793600000.

The previous prime is 2985599999. The next prime is 2985600011. The reversal of 2985600000 is 65892.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9599845 + ... + 9600155.

Almost surely, 2^2985600000 is an apocalyptic number.

2985600000 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 2985600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989243168).

2985600000 is an abundant number, since it is smaller than the sum of its proper divisors (6992886336).

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

2985600000 is an frugal number, since it uses more digits than its factorization.

2985600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2985600000 is about 54640.6442128934. The cubic root of 2985600000 is about 1439.9382689586.

Adding to 2985600000 its reverse (65892), we get a palindrome (2985665892).

The spelling of 2985600000 in words is "two billion, nine hundred eighty-five million, six hundred thousand".