2100728160 has 144 divisors (see below), whose sum is σ = 7546134960. Its totient is φ = 530703360.

The previous prime is 2100728153. The next prime is 2100728213. The reversal of 2100728160 is 618270012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11031 + ... + 65750.

It is an arithmetic number, because the mean of its divisors is an integer number (52403715).

Almost surely, 2^2100728160 is an apocalyptic number.

2100728160 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 2100728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773067480).

2100728160 is an abundant number, since it is smaller than the sum of its proper divisors (5445406800).

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

2100728160 is a wasteful number, since it uses less digits than its factorization.

2100728160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76821 (or 76810 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2100728160 is about 45833.7011379182. The cubic root of 2100728160 is about 1280.7271584431.

Adding to 2100728160 its reverse (618270012), we get a palindrome (2718998172).

The spelling of 2100728160 in words is "two billion, one hundred million, seven hundred twenty-eight thousand, one hundred sixty".