2142032214300 has 288 divisors, whose sum is σ = 6849289117440. Its totient is φ = 512545689600.

The previous prime is 2142032214281. The next prime is 2142032214317. The reversal of 2142032214300 is 34122302412.

It is a happy number.

It is a super-2 number, since 2×2142032214300² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79341604 + ... + 79368596.

It is an arithmetic number, because the mean of its divisors is an integer number (23782253880).

Almost surely, 2^{2142032214300} is an apocalyptic number.

2142032214300 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 2142032214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424644558720).

2142032214300 is an abundant number, since it is smaller than the sum of its proper divisors (4707256903140).

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

2142032214300 is a wasteful number, since it uses less digits than its factorization.

2142032214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27333 (or 27326 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2142032214300 its reverse (34122302412), we get a palindrome (2176154516712).

The spelling of 2142032214300 in words is "two trillion, one hundred forty-two billion, thirty-two million, two hundred fourteen thousand, three hundred".