2162250000 has 315 divisors, whose sum is σ = 7815896049. Its totient is φ = 558000000.

The previous prime is 2162249963. The next prime is 2162250007. The reversal of 2162250000 is 522612.

The square root of 2162250000 is 46500.

It is a perfect power (a square), and thus also a powerful number.

2162250000 is a `hidden beast` number, since 2 + 162 + 2 + 500 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1894338576 + 267911424 = 43524^2 + 16368^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2162250007) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 69749985 + ... + 69750015.

Almost surely, 2^2162250000 is an apocalyptic number.

2162250000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2162250000 is the 46500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2162250000

2162250000 is an abundant number, since it is smaller than the sum of its proper divisors (5653646049).

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

2162250000 is an frugal number, since it uses more digits than its factorization.

2162250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 41 counting only the distinct ones).

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

The cubic root of 2162250000 is about 1293.1094988223.

Adding to 2162250000 its reverse (522612), we get a palindrome (2162772612).

The spelling of 2162250000 in words is "two billion, one hundred sixty-two million, two hundred fifty thousand".