2128721760 has 288 divisors, whose sum is σ = 8270615808. Its totient is φ = 493532160.

The previous prime is 2128721743. The next prime is 2128721767. The reversal of 2128721760 is 671278212.

It is a tau number, because it is divible by the number of its divisors (288).

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 (2128721767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361399 + ... + 367241.

It is an arithmetic number, because the mean of its divisors is an integer number (28717416).

Almost surely, 2^2128721760 is an apocalyptic number.

2128721760 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 2128721760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135307904).

2128721760 is an abundant number, since it is smaller than the sum of its proper divisors (6141894048).

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

2128721760 is a wasteful number, since it uses less digits than its factorization.

2128721760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898 (or 5887 counting only the distinct ones).

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

The square root of 2128721760 is about 46138.0727815976. The cubic root of 2128721760 is about 1286.3909217262.

Adding to 2128721760 its reverse (671278212), we get a palindrome (2799999972).

The spelling of 2128721760 in words is "two billion, one hundred twenty-eight million, seven hundred twenty-one thousand, seven hundred sixty".