2116838400 has 264 divisors, whose sum is σ = 7170133344. Its totient is φ = 550502400.

The previous prime is 2116838371. The next prime is 2116838447. The reversal of 2116838400 is 48386112.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3302080 + ... + 3302720.

It is an arithmetic number, because the mean of its divisors is an integer number (27159596).

Almost surely, 2^2116838400 is an apocalyptic number.

2116838400 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 2116838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585066672).

2116838400 is an abundant number, since it is smaller than the sum of its proper divisors (5053294944).

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

2116838400 is a wasteful number, since it uses less digits than its factorization.

2116838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2116838400 is about 46009.1121409662. The cubic root of 2116838400 is about 1283.9927407126.

The spelling of 2116838400 in words is "two billion, one hundred sixteen million, eight hundred thirty-eight thousand, four hundred".