2130142200 has 96 divisors (see below), whose sum is σ = 6629040000. Its totient is φ = 565836160.

The previous prime is 2130142181. The next prime is 2130142237. The reversal of 2130142200 is 22410312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2130142200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151051 + ... + 164549.

It is an arithmetic number, because the mean of its divisors is an integer number (69052500).

Almost surely, 2^2130142200 is an apocalyptic number.

2130142200 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 2130142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314520000).

2130142200 is an abundant number, since it is smaller than the sum of its proper divisors (4498897800).

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

2130142200 is a wasteful number, since it uses less digits than its factorization.

2130142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13781 (or 13772 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2130142200 is about 46153.4635753374. The cubic root of 2130142200 is about 1286.6769830429.

Adding to 2130142200 its reverse (22410312), we get a palindrome (2152552512).

The spelling of 2130142200 in words is "two billion, one hundred thirty million, one hundred forty-two thousand, two hundred".