2116575072 has 288 divisors, whose sum is σ = 6836749920. Its totient is φ = 617103360.

The previous prime is 2116575059. The next prime is 2116575079. The reversal of 2116575072 is 2705756112.

2116575072 is a `hidden beast` number, since 2 + 1 + 16 + 575 + 0 + 72 = 666.

2116575072 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 (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116575079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5674278 + ... + 5674650.

It is an arithmetic number, because the mean of its divisors is an integer number (23738715).

Almost surely, 2^2116575072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116575072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418374960).

2116575072 is an abundant number, since it is smaller than the sum of its proper divisors (4720174848).

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

2116575072 is a wasteful number, since it uses less digits than its factorization.

2116575072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 2116575072 is about 46006.2503579677. The cubic root of 2116575072 is about 1283.9394969599.

The spelling of 2116575072 in words is "two billion, one hundred sixteen million, five hundred seventy-five thousand, seventy-two".