2140216320 has 352 divisors, whose sum is σ = 7640386560. Its totient is φ = 506920960.

The previous prime is 2140216303. The next prime is 2140216321. The reversal of 2140216320 is 236120412.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140216321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8954761 + ... + 8954999.

Almost surely, 2^2140216320 is an apocalyptic number.

2140216320 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 2140216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820193280).

2140216320 is an abundant number, since it is smaller than the sum of its proper divisors (5500170240).

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

2140216320 is a wasteful number, since it uses less digits than its factorization.

2140216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2140216320 is about 46262.4720480867. The cubic root of 2140216320 is about 1288.7021620541.

Adding to 2140216320 its reverse (236120412), we get a palindrome (2376336732).

The spelling of 2140216320 in words is "two billion, one hundred forty million, two hundred sixteen thousand, three hundred twenty".