2100011424 has 144 divisors (see below), whose sum is σ = 6619850496. Its totient is φ = 580608000.

The previous prime is 2100011387. The next prime is 2100011429. The reversal of 2100011424 is 4241100012.

It is not an unprimeable number, because it can be changed into a prime (2100011429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138624 + ... + 153024.

It is an arithmetic number, because the mean of its divisors is an integer number (45971184).

Almost surely, 2^2100011424 is an apocalyptic number.

2100011424 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 2100011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309925248).

2100011424 is an abundant number, since it is smaller than the sum of its proper divisors (4519839072).

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

2100011424 is a wasteful number, since it uses less digits than its factorization.

2100011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14459 (or 14444 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2100011424 is about 45825.8815954478. The cubic root of 2100011424 is about 1280.5814871002.

Adding to 2100011424 its reverse (4241100012), we get a palindrome (6341111436).

The spelling of 2100011424 in words is "two billion, one hundred million, eleven thousand, four hundred twenty-four".