2109422016 has 336 divisors, whose sum is σ = 7019629344. Its totient is φ = 599851008.

The previous prime is 2109421967. The next prime is 2109422027. The reversal of 2109422016 is 6102249012.

It is a super-2 number, since 2×2109422016² = 8899322483171008512, which contains 22 as substring.

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, 9292495 + ... + 9292721.

It is an arithmetic number, because the mean of its divisors is an integer number (20891754).

Almost surely, 2^2109422016 is an apocalyptic number.

2109422016 is a gapful number since it is divisible by the number (26) 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 2109422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509814672).

2109422016 is an abundant number, since it is smaller than the sum of its proper divisors (4910207328).

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

2109422016 is a wasteful number, since it uses less digits than its factorization.

2109422016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2109422016 is about 45928.4445197091. Note that the first 3 decimals coincide. The cubic root of 2109422016 is about 1282.4914883787.

The spelling of 2109422016 in words is "two billion, one hundred nine million, four hundred twenty-two thousand, sixteen".