2985984008 has 64 divisors (see below), whose sum is σ = 6480015360. Its totient is φ = 1263491136.

The previous prime is 2985983939. The next prime is 2985984011. The reversal of 2985984008 is 8004895892.

It is a super-2 number, since 2×2985984008² = 17832200992063488128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2808485 + ... + 2809547.

It is an arithmetic number, because the mean of its divisors is an integer number (101250240).

Almost surely, 2^2985984008 is an apocalyptic number.

2985984008 is a gapful number since it is divisible by the number (28) 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 2985984008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240007680).

2985984008 is an abundant number, since it is smaller than the sum of its proper divisors (3494031352).

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

2985984008 is a wasteful number, since it uses less digits than its factorization.

2985984008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 53.

The square root of 2985984008 is about 54644.1580409105. The cubic root of 2985984008 is about 1440.0000012860. Note that the first 5 decimals are identical.

The spelling of 2985984008 in words is "two billion, nine hundred eighty-five million, nine hundred eighty-four thousand, eight".