2128671072 has 144 divisors (see below), whose sum is σ = 6623285760. Its totient is φ = 643142400.

The previous prime is 2128671071. The next prime is 2128671073. The reversal of 2128671072 is 2701768212.

It is an interprime number because it is at equal distance from previous prime (2128671071) and next prime (2128671073).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128671071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1364629 + ... + 1366187.

It is an arithmetic number, because the mean of its divisors is an integer number (45995040).

Almost surely, 2^2128671072 is an apocalyptic number.

2128671072 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 2128671072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311642880).

2128671072 is an abundant number, since it is smaller than the sum of its proper divisors (4494614688).

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

2128671072 is a wasteful number, since it uses less digits than its factorization.

2128671072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2128671072 is about 46137.5234705982. The cubic root of 2128671072 is about 1286.3807113578.

The spelling of 2128671072 in words is "two billion, one hundred twenty-eight million, six hundred seventy-one thousand, seventy-two".