2031984 has 60 divisors (see below), whose sum is σ = 5783856. Its totient is φ = 665856.

The previous prime is 2031983. The next prime is 2032013. The reversal of 2031984 is 4891302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14764 + ... + 14900.

2^2031984 is an apocalyptic number.

2031984 is a gapful number since it is divisible by the number (24) 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 2031984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891928).

2031984 is an abundant number, since it is smaller than the sum of its proper divisors (3751872).

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

2031984 is a wasteful number, since it uses less digits than its factorization.

2031984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2031984 is about 1425.4767623501. The cubic root of 2031984 is about 126.6601781841.

It can be divided in two parts, 203 and 1984, that added together give a 7-th power (2187 = 3⁷).

The spelling of 2031984 in words is "two million, thirty-one thousand, nine hundred eighty-four".