2100812824 has 64 divisors (see below), whose sum is σ = 4720032000. Its totient is φ = 865307520.

The previous prime is 2100812821. The next prime is 2100812839. The reversal of 2100812824 is 4282180012.

It is a junction number, because it is equal to n+sod(n) for n = 2100812792 and 2100812801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100812821) 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, 11142 + ... + 65770.

It is an arithmetic number, because the mean of its divisors is an integer number (73750500).

Almost surely, 2^2100812824 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 2100812824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360016000).

2100812824 is an abundant number, since it is smaller than the sum of its proper divisors (2619219176).

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

2100812824 is a wasteful number, since it uses less digits than its factorization.

2100812824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54688 (or 54684 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 2100812824 is about 45834.6247284736. The cubic root of 2100812824 is about 1280.7443635928.

Adding to 2100812824 its reverse (4282180012), we get a palindrome (6382992836).

The spelling of 2100812824 in words is "two billion, one hundred million, eight hundred twelve thousand, eight hundred twenty-four".