2212002000 has 640 divisors, whose sum is σ = 8969425920. Its totient is φ = 517017600.

The previous prime is 2212001959. The next prime is 2212002061. The reversal of 2212002000 is 2002122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16145932 + ... + 16146068.

It is an arithmetic number, because the mean of its divisors is an integer number (14014728).

Almost surely, 2^2212002000 is an apocalyptic number.

2212002000 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 2212002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484712960).

2212002000 is an abundant number, since it is smaller than the sum of its proper divisors (6757423920).

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

2212002000 is a wasteful number, since it uses less digits than its factorization.

2212002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2212002000 is about 47031.9253273774. The cubic root of 2212002000 is about 1302.9522647704.

Adding to 2212002000 its reverse (2002122), we get a palindrome (2214004122).

The spelling of 2212002000 in words is "two billion, two hundred twelve million, two thousand".