2122176672 has 600 divisors, whose sum is σ = 8199176832. Its totient is φ = 533433600.

The previous prime is 2122176659. The next prime is 2122176677. The reversal of 2122176672 is 2766712212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2122176677) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 68457297 + ... + 68457327.

Almost surely, 2^2122176672 is an apocalyptic number.

2122176672 is a gapful number since it is divisible by the number (22) 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 2122176672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099588416).

2122176672 is an abundant number, since it is smaller than the sum of its proper divisors (6077000160).

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

2122176672 is an equidigital number, since it uses as much as digits as its factorization.

2122176672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 54 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 2122176672 is about 46067.0888162037. The cubic root of 2122176672 is about 1285.0711648375.

Adding to 2122176672 its reverse (2766712212), we get a palindrome (4888888884).

The spelling of 2122176672 in words is "two billion, one hundred twenty-two million, one hundred seventy-six thousand, six hundred seventy-two".