2121880320 has 576 divisors, whose sum is σ = 8830080000. Its totient is φ = 482291712.

The previous prime is 2121880301. The next prime is 2121880333. The reversal of 2121880320 is 230881212.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11853991 + ... + 11854169.

It is an arithmetic number, because the mean of its divisors is an integer number (15330000).

Almost surely, 2^2121880320 is an apocalyptic number.

2121880320 is a gapful number since it is divisible by the number (20) 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 2121880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415040000).

2121880320 is an abundant number, since it is smaller than the sum of its proper divisors (6708199680).

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

2121880320 is an equidigital number, since it uses as much as digits as its factorization.

2121880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2121880320 is about 46063.8721776622. The cubic root of 2121880320 is about 1285.0113440030.

The spelling of 2121880320 in words is "two billion, one hundred twenty-one million, eight hundred eighty thousand, three hundred twenty".