2212013000 has 64 divisors (see below), whose sum is σ = 5183259120. Its totient is φ = 883584000.

The previous prime is 2212012981. The next prime is 2212013039. The reversal of 2212013000 is 3102122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 29441476 + 2182571524 = 5426^2 + 46718^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180064 + ... + 1181936.

Almost surely, 2^2212013000 is an apocalyptic number.

2212013000 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 2212013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591629560).

2212013000 is an abundant number, since it is smaller than the sum of its proper divisors (2971246120).

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

2212013000 is a wasteful number, since it uses less digits than its factorization.

2212013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2212013000 is about 47032.0422690744. The cubic root of 2212013000 is about 1302.9544245712.

Adding to 2212013000 its reverse (3102122), we get a palindrome (2215115122).

The spelling of 2212013000 in words is "two billion, two hundred twelve million, thirteen thousand".