2140331200 has 336 divisors, whose sum is σ = 6349593600. Its totient is φ = 694886400.

The previous prime is 2140331183. The next prime is 2140331201. The reversal of 2140331200 is 21330412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140331201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 27092761 + ... + 27092839.

It is an arithmetic number, because the mean of its divisors is an integer number (18897600).

Almost surely, 2^2140331200 is an apocalyptic number.

2140331200 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 2140331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174796800).

2140331200 is an abundant number, since it is smaller than the sum of its proper divisors (4209262400).

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

2140331200 is a wasteful number, since it uses less digits than its factorization.

2140331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2140331200 is about 46263.7136425514. The cubic root of 2140331200 is about 1288.7252194516.

Adding to 2140331200 its reverse (21330412), we get a palindrome (2161661612).

The spelling of 2140331200 in words is "two billion, one hundred forty million, three hundred thirty-one thousand, two hundred".