2116396800 has 648 divisors, whose sum is σ = 8995153440. Its totient is φ = 464486400.

The previous prime is 2116396787. The next prime is 2116396817. The reversal of 2116396800 is 86936112.

2116396800 is a `hidden beast` number, since 2 + 11 + 639 + 6 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11692710 + ... + 11692890.

Almost surely, 2^2116396800 is an apocalyptic number.

2116396800 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 2116396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497576720).

2116396800 is an abundant number, since it is smaller than the sum of its proper divisors (6878756640).

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

2116396800 is a wasteful number, since it uses less digits than its factorization.

2116396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2116396800 is about 46004.3128412978. The cubic root of 2116396800 is about 1283.9034486458.

The spelling of 2116396800 in words is "two billion, one hundred sixteen million, three hundred ninety-six thousand, eight hundred".