2100441420 has 432 divisors, whose sum is σ = 8365593600. Its totient is φ = 416782080.

The previous prime is 2100441353. The next prime is 2100441449. The reversal of 2100441420 is 241440012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2100441393 and 2100441402.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3506281 + ... + 3506879.

It is an arithmetic number, because the mean of its divisors is an integer number (19364800).

Almost surely, 2^2100441420 is an apocalyptic number.

2100441420 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 2100441420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182796800).

2100441420 is an abundant number, since it is smaller than the sum of its proper divisors (6265152180).

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

2100441420 is a wasteful number, since it uses less digits than its factorization.

2100441420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2100441420 is about 45830.5729835445. The cubic root of 2100441420 is about 1280.6688846149.

Adding to 2100441420 its reverse (241440012), we get a palindrome (2341881432).

The spelling of 2100441420 in words is "two billion, one hundred million, four hundred forty-one thousand, four hundred twenty".