2116281600 has 432 divisors, whose sum is σ = 7994002240. Its totient is φ = 547430400.

The previous prime is 2116281577. The next prime is 2116281611. The reversal of 2116281600 is 61826112.

2116281600 is a `hidden beast` number, since 21 + 1 + 628 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6393435 + ... + 6393765.

Almost surely, 2^2116281600 is an apocalyptic number.

2116281600 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 2116281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997001120).

2116281600 is an abundant number, since it is smaller than the sum of its proper divisors (5877720640).

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

2116281600 is a wasteful number, since it uses less digits than its factorization.

2116281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2116281600 is about 46003.0607677359. The cubic root of 2116281600 is about 1283.8801530205.

The spelling of 2116281600 in words is "two billion, one hundred sixteen million, two hundred eighty-one thousand, six hundred".