2142212000 has 192 divisors, whose sum is σ = 5632623360. Its totient is φ = 798336000.

The previous prime is 2142211987. The next prime is 2142212021. The reversal of 2142212000 is 2122412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5395802 + ... + 5396198.

It is an arithmetic number, because the mean of its divisors is an integer number (29336580).

Almost surely, 2^2142212000 is an apocalyptic number.

2142212000 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 2142212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816311680).

2142212000 is an abundant number, since it is smaller than the sum of its proper divisors (3490411360).

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

2142212000 is a wasteful number, since it uses less digits than its factorization.

2142212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2142212000 is about 46284.0361247806. The cubic root of 2142212000 is about 1289.1025948104.

Adding to 2142212000 its reverse (2122412), we get a palindrome (2144334412).

The spelling of 2142212000 in words is "two billion, one hundred forty-two million, two hundred twelve thousand".