2116724400 has 840 divisors, whose sum is σ = 9377730144. Its totient is φ = 447897600.

The previous prime is 2116724399. The next prime is 2116724411. The reversal of 2116724400 is 44276112.

2116724400 is a `hidden beast` number, since 211 + 6 + 7 + 2 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 34700370 + ... + 34700430.

Almost surely, 2^2116724400 is an apocalyptic number.

2116724400 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 2116724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688865072).

2116724400 is an abundant number, since it is smaller than the sum of its proper divisors (7261005744).

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

2116724400 is a wasteful number, since it uses less digits than its factorization.

2116724400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2116724400 is about 46007.8732392620. The cubic root of 2116724400 is about 1283.9696909607.

The spelling of 2116724400 in words is "two billion, one hundred sixteen million, seven hundred twenty-four thousand, four hundred".