2130220512 has 288 divisors, whose sum is σ = 7345175040. Its totient is φ = 598752000.

The previous prime is 2130220489. The next prime is 2130220529. The reversal of 2130220512 is 2150220312.

2130220512 is a `hidden beast` number, since 2 + 130 + 2 + 20 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2836137 + ... + 2836887.

It is an arithmetic number, because the mean of its divisors is an integer number (25504080).

Almost surely, 2^2130220512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130220512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672587520).

2130220512 is an abundant number, since it is smaller than the sum of its proper divisors (5214954528).

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

2130220512 is a wasteful number, since it uses less digits than its factorization.

2130220512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2130220512 is about 46154.3119545726. The cubic root of 2130220512 is about 1286.6927505369.

Adding to 2130220512 its reverse (2150220312), we get a palindrome (4280440824).

It can be divided in two parts, 21302 and 20512, that added together give a palindrome (41814).

The spelling of 2130220512 in words is "two billion, one hundred thirty million, two hundred twenty thousand, five hundred twelve".