2100933863424 has 672 divisors, whose sum is σ = 7233665493600. Its totient is φ = 603049328640.

The previous prime is 2100933863393. The next prime is 2100933863459. The reversal of 2100933863424 is 4243683390012.

2100933863424 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 9 + 3 + 3 + 8 + 634 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2100933863424.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 312031962 + ... + 312038694.

It is an arithmetic number, because the mean of its divisors is an integer number (10764383175).

Almost surely, 2^{2100933863424} is an apocalyptic number.

2100933863424 is a gapful number since it is divisible by the number (24) 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 2100933863424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616832746800).

2100933863424 is an abundant number, since it is smaller than the sum of its proper divisors (5132731630176).

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

2100933863424 is an equidigital number, since it uses as much as digits as its factorization.

2100933863424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6803 (or 6768 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2100933863424 in words is "two trillion, one hundred billion, nine hundred thirty-three million, eight hundred sixty-three thousand, four hundred twenty-four".