2121016320 has 352 divisors, whose sum is σ = 7683619200. Its totient is φ = 554729472.

The previous prime is 2121016319. The next prime is 2121016321. The reversal of 2121016320 is 236101212.

2121016320 is a `hidden beast` number, since 21 + 2 + 10 + 1 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2121016319) and next prime (2121016321).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2121016293 and 2121016302.

It is not an unprimeable number, because it can be changed into a prime (2121016321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9261966 + ... + 9262194.

Almost surely, 2^2121016320 is an apocalyptic number.

2121016320 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 2121016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841809600).

2121016320 is an abundant number, since it is smaller than the sum of its proper divisors (5562602880).

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

2121016320 is a wasteful number, since it uses less digits than its factorization.

2121016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2121016320 is about 46054.4929404287. The cubic root of 2121016320 is about 1284.8369074403.

Adding to 2121016320 its reverse (236101212), we get a palindrome (2357117532).

The spelling of 2121016320 in words is "two billion, one hundred twenty-one million, sixteen thousand, three hundred twenty".