2100422016 has 384 divisors, whose sum is σ = 7823612160. Its totient is φ = 544942080.

The previous prime is 2100422003. The next prime is 2100422033. The reversal of 2100422016 is 6102240012.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2100422016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2394570 + ... + 2395446.

It is an arithmetic number, because the mean of its divisors is an integer number (20373990).

Almost surely, 2^2100422016 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 2100422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911806080).

2100422016 is an abundant number, since it is smaller than the sum of its proper divisors (5723190144).

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

2100422016 is an equidigital number, since it uses as much as digits as its factorization.

2100422016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2100422016 is about 45830.3612903062. The cubic root of 2100422016 is about 1280.6649409716.

Adding to 2100422016 its reverse (6102240012), we get a palindrome (8202662028).

The spelling of 2100422016 in words is "two billion, one hundred million, four hundred twenty-two thousand, sixteen".