2100460128 has 96 divisors (see below), whose sum is σ = 5949619200. Its totient is φ = 645014016.

The previous prime is 2100460123. The next prime is 2100460129. The reversal of 2100460128 is 8210640012.

2100460128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2100460098 and 2100460107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100460123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771153 + ... + 773871.

It is an arithmetic number, because the mean of its divisors is an integer number (61975200).

Almost surely, 2^2100460128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100460128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974809600).

2100460128 is an abundant number, since it is smaller than the sum of its proper divisors (3849159072).

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

2100460128 is a wasteful number, since it uses less digits than its factorization.

2100460128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2100460128 is about 45830.7770826548. Note that the first 3 decimals coincide. The cubic root of 2100460128 is about 1280.6726867812.

The spelling of 2100460128 in words is "two billion, one hundred million, four hundred sixty thousand, one hundred twenty-eight".