2128822080 has 448 divisors, whose sum is σ = 8708014080. Its totient is φ = 427622400.

The previous prime is 2128822079. The next prime is 2128822081. The reversal of 2128822080 is 802288212.

It is an interprime number because it is at equal distance from previous prime (2128822079) and next prime (2128822081).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128822081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2291056 + ... + 2291984.

Almost surely, 2^2128822080 is an apocalyptic number.

2128822080 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 2128822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354007040).

2128822080 is an abundant number, since it is smaller than the sum of its proper divisors (6579192000).

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

2128822080 is a wasteful number, since it uses less digits than its factorization.

2128822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 2128822080 is about 46139.1599403370. The cubic root of 2128822080 is about 1286.4111292693.

The spelling of 2128822080 in words is "two billion, one hundred twenty-eight million, eight hundred twenty-two thousand, eighty".