2121840288 has 72 divisors (see below), whose sum is σ = 6045949728. Its totient is φ = 705877632.

The previous prime is 2121840269. The next prime is 2121840313. The reversal of 2121840288 is 8820481212.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 143581 + ... + 157667.

It is an arithmetic number, because the mean of its divisors is an integer number (83971524).

Almost surely, 2^2121840288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121840288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022974864).

2121840288 is an abundant number, since it is smaller than the sum of its proper divisors (3924109440).

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

2121840288 is a wasteful number, since it uses less digits than its factorization.

2121840288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14626 (or 14615 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2121840288 is about 46063.4376485299. The cubic root of 2121840288 is about 1285.0032628218.

The spelling of 2121840288 in words is "two billion, one hundred twenty-one million, eight hundred forty thousand, two hundred eighty-eight".