2116679040 has 640 divisors, whose sum is σ = 9123206400. Its totient is φ = 456855552.

The previous prime is 2116679011. The next prime is 2116679053. The reversal of 2116679040 is 409766112.

2116679040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 2116678986 and 2116679004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6894567 + ... + 6894873.

It is an arithmetic number, because the mean of its divisors is an integer number (14255010).

Almost surely, 2^2116679040 is an apocalyptic number.

2116679040 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 2116679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561603200).

2116679040 is an abundant number, since it is smaller than the sum of its proper divisors (7006527360).

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

2116679040 is a wasteful number, since it uses less digits than its factorization.

2116679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2116679040 is about 46007.3802775163. The cubic root of 2116679040 is about 1283.9605193555.

The spelling of 2116679040 in words is "two billion, one hundred sixteen million, six hundred seventy-nine thousand, forty".