2130219000 has 960 divisors, whose sum is σ = 9735485760. Its totient is φ = 423014400.

The previous prime is 2130218969. The next prime is 2130219053. The reversal of 2130219000 is 9120312.

It is a happy number.

It is a super-2 number, since 2×2130219000² = 9075665975922000000, which contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 125306992 + ... + 125307008.

It is an arithmetic number, because the mean of its divisors is an integer number (10141131).

Almost surely, 2^2130219000 is an apocalyptic number.

2130219000 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 2130219000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867742880).

2130219000 is an abundant number, since it is smaller than the sum of its proper divisors (7605266760).

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

2130219000 is a wasteful number, since it uses less digits than its factorization.

2130219000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2130219000 is about 46154.2955747350. The cubic root of 2130219000 is about 1286.6924461114.

Adding to 2130219000 its reverse (9120312), we get a palindrome (2139339312).

The spelling of 2130219000 in words is "two billion, one hundred thirty million, two hundred nineteen thousand".