2985984001 has 48 divisors (see below), whose sum is σ = 4113160128. Its totient is φ = 2130710400.

The previous prime is 2985983939. The next prime is 2985984011. The reversal of 2985984001 is 1004895892.

It is a Cunningham number, because it is equal to 1440³+1.

It is not a de Polignac number, because 2985984001 - 2¹¹ = 2985981953 is a prime.

It is a super-2 number, since 2×2985984001² = 17832200908455936002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2985984011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 916291 + ... + 919543.

It is an arithmetic number, because the mean of its divisors is an integer number (85690836).

Almost surely, 2^2985984001 is an apocalyptic number.

It is an amenable number.

2985984001 is a deficient number, since it is larger than the sum of its proper divisors (1127176127).

2985984001 is a wasteful number, since it uses less digits than its factorization.

2985984001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The square root of 2985984001 is about 54644.1579768597. The cubic root of 2985984001 is about 1440.0000001608. Note that the first 6 decimals are identical.

The spelling of 2985984001 in words is "two billion, nine hundred eighty-five million, nine hundred eighty-four thousand, one".