2142354200 has 96 divisors (see below), whose sum is σ = 5876290560. Its totient is φ = 710812800.

The previous prime is 2142354199. The next prime is 2142354217. The reversal of 2142354200 is 24532412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18719 + ... + 68081.

It is an arithmetic number, because the mean of its divisors is an integer number (61211360).

Almost surely, 2^2142354200 is an apocalyptic number.

2142354200 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 2142354200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938145280).

2142354200 is an abundant number, since it is smaller than the sum of its proper divisors (3733936360).

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

2142354200 is a wasteful number, since it uses less digits than its factorization.

2142354200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49417 (or 49408 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2142354200 is about 46285.5722660961. The cubic root of 2142354200 is about 1289.1311177162.

Adding to 2142354200 its reverse (24532412), we get a palindrome (2166886612).

The spelling of 2142354200 in words is "two billion, one hundred forty-two million, three hundred fifty-four thousand, two hundred".