2121984 has 72 divisors (see below), whose sum is σ = 6295520. Its totient is φ = 705024.

The previous prime is 2121979. The next prime is 2121989. The reversal of 2121984 is 4891212.

It is an interprime number because it is at equal distance from previous prime (2121979) and next prime (2121989).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2121989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6759 + ... + 7065.

2^2121984 is an apocalyptic number.

2121984 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 2121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147760).

2121984 is an abundant number, since it is smaller than the sum of its proper divisors (4173536).

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

2121984 is an equidigital number, since it uses as much as digits as its factorization.

2121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 312 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 2121984 is about 1456.7031269274. The cubic root of 2121984 is about 128.5032273208.

The spelling of 2121984 in words is "two million, one hundred twenty-one thousand, nine hundred eighty-four".