2985984 has 91 divisors (see below), whose sum is σ = 8952763. Its totient is φ = 995328.

The previous prime is 2985979. The next prime is 2985991. The reversal of 2985984 is 4895892.

The square root of 2985984 is 1728.

The cubic root of 2985984 is 144.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)³ ⋅ (3!)³.

It is a super-2 number, since 2×2985984² = 17832200896512, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (207360) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 9 and base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 995327 + 995328 + 995329.

2^2985984 is an apocalyptic number.

2985984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2985984 is the 1728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2985984

2985984 is an abundant number, since it is smaller than the sum of its proper divisors (5966779).

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

2985984 is an frugal number, since it uses more digits than its factorization.

2985984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 5 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

It can be divided in two parts, 2985 and 984, that added together give a square (3969 = 63²).

The spelling of 2985984 in words is "two million, nine hundred eighty-five thousand, nine hundred eighty-four".