2109948384 has 96 divisors (see below), whose sum is σ = 5711126400. Its totient is φ = 681564672.

The previous prime is 2109948361. The next prime is 2109948397. The reversal of 2109948384 is 4838499012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2109948384² = 8903764366288422912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1004167 + ... + 1006265.

It is an arithmetic number, because the mean of its divisors is an integer number (59490900).

Almost surely, 2^2109948384 is an apocalyptic number.

2109948384 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 2109948384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855563200).

2109948384 is an abundant number, since it is smaller than the sum of its proper divisors (3601178016).

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

2109948384 is a wasteful number, since it uses less digits than its factorization.

2109948384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 2109948384 is about 45934.1744673832. The cubic root of 2109948384 is about 1282.5981536694.

The spelling of 2109948384 in words is "two billion, one hundred nine million, nine hundred forty-eight thousand, three hundred eighty-four".