2100458421792 has 144 divisors (see below), whose sum is σ = 6007523977728. Its totient is φ = 696130767360.

The previous prime is 2100458421683. The next prime is 2100458421811. The reversal of 2100458421792 is 2971248540012.

2100458421792 is a `hidden beast` number, since 2 + 100 + 4 + 58 + 421 + 79 + 2 = 666.

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

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, 121173958 + ... + 121191290.

It is an arithmetic number, because the mean of its divisors is an integer number (41718916512).

Almost surely, 2^{2100458421792} 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 2100458421792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003761988864).

2100458421792 is an abundant number, since it is smaller than the sum of its proper divisors (3907065555936).

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

2100458421792 is a wasteful number, since it uses less digits than its factorization.

2100458421792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19743 (or 19732 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2100458421792 in words is "two trillion, one hundred billion, four hundred fifty-eight million, four hundred twenty-one thousand, seven hundred ninety-two".