2109800448 has 306 divisors, whose sum is σ = 7187147214. Its totient is φ = 594542592.

The previous prime is 2109800423. The next prime is 2109800467. The reversal of 2109800448 is 8440089012.

It can be written as a sum of positive squares in only one way, i.e., 1849688064 + 260112384 = 43008^2 + 16128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28901340 + ... + 28901412.

Almost surely, 2^2109800448 is an apocalyptic number.

2109800448 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 2109800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593573607).

2109800448 is an abundant number, since it is smaller than the sum of its proper divisors (5077346766).

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

2109800448 is an frugal number, since it uses more digits than its factorization.

2109800448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2109800448 is about 45932.5641348270. The cubic root of 2109800448 is about 1282.5681771264.

The spelling of 2109800448 in words is "two billion, one hundred nine million, eight hundred thousand, four hundred forty-eight".