2121768000 has 896 divisors, whose sum is σ = 9129369600. Its totient is φ = 476928000.

The previous prime is 2121767987. The next prime is 2121768031. The reversal of 2121768000 is 8671212.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45143977 + ... + 45144023.

Almost surely, 2^2121768000 is an apocalyptic number.

2121768000 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 2121768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564684800).

2121768000 is an abundant number, since it is smaller than the sum of its proper divisors (7007601600).

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

2121768000 is a wasteful number, since it uses less digits than its factorization.

2121768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2121768000 is about 46062.6529848206. The cubic root of 2121768000 is about 1284.9886699279.

The spelling of 2121768000 in words is "two billion, one hundred twenty-one million, seven hundred sixty-eight thousand".