2172135000 has 320 divisors, whose sum is σ = 7863482880. Its totient is φ = 489600000.

The previous prime is 2172134969. The next prime is 2172135011. The reversal of 2172135000 is 5312712.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14384925 + ... + 14385075.

It is an arithmetic number, because the mean of its divisors is an integer number (24573384).

Almost surely, 2^2172135000 is an apocalyptic number.

2172135000 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 2172135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931741440).

2172135000 is an abundant number, since it is smaller than the sum of its proper divisors (5691347880).

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

2172135000 is a wasteful number, since it uses less digits than its factorization.

2172135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 2172135000 is about 46606.1691195490. The cubic root of 2172135000 is about 1295.0770415747.

Adding to 2172135000 its reverse (5312712), we get a palindrome (2177447712).

The spelling of 2172135000 in words is "two billion, one hundred seventy-two million, one hundred thirty-five thousand".