2109828448 has 72 divisors (see below), whose sum is σ = 5140458288. Its totient is φ = 834642432.

The previous prime is 2109828443. The next prime is 2109828493. The reversal of 2109828448 is 8448289012.

It is a junction number, because it is equal to n+sod(n) for n = 2109828398 and 2109828407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2109828443) 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, 9990 + ... + 65722.

It is an arithmetic number, because the mean of its divisors is an integer number (71395254).

Almost surely, 2^2109828448 is an apocalyptic number.

2109828448 is a gapful number since it is divisible by the number (28) 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 2109828448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570229144).

2109828448 is an abundant number, since it is smaller than the sum of its proper divisors (3030629840).

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

2109828448 is a wasteful number, since it uses less digits than its factorization.

2109828448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55776 (or 55755 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The square root of 2109828448 is about 45932.8689284699. The cubic root of 2109828448 is about 1282.5738509253.

The spelling of 2109828448 in words is "two billion, one hundred nine million, eight hundred twenty-eight thousand, four hundred forty-eight".