2100428668800 has 4608 divisors, whose sum is σ = 10651396838400. Its totient is φ = 398529331200.

The previous prime is 2100428668781. The next prime is 2100428668801. The reversal of 2100428668800 is 88668240012.

2100428668800 is a `hidden beast` number, since 210 + 0 + 428 + 6 + 6 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100428668801) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 39630729574 + ... + 39630729626.

It is an arithmetic number, because the mean of its divisors is an integer number (2311501050).

Almost surely, 2^{2100428668800} is an apocalyptic number.

2100428668800 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 2100428668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5325698419200).

2100428668800 is an abundant number, since it is smaller than the sum of its proper divisors (8550968169600).

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

2100428668800 is a wasteful number, since it uses less digits than its factorization.

2100428668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 2100428668800 in words is "two trillion, one hundred billion, four hundred twenty-eight million, six hundred sixty-eight thousand, eight hundred".